Quiz about Question Bank for Polynomial Operations

Question 1

Find the product for the following:

(x + 3) (x + 3)

Accepted Answer

x² + 6x + 9

Answer

x² + 9x + 9

Answer

x² + 6x + 6

Answer

x² + 9x + 6

Question 2

Find the product for the following:

(x - 4) (x - 4)

Accepted Answer

x²- 8x +16

Answer

X2 - 16

Answer

X² +8x -16

Answer

x2 + 4

Question 3

Find the product for the following:

(x - 4)²

Accepted Answer

x²- 8x +16

Answer

X2 - 16

Answer

X² +8x -16

Answer

x2 + 4

Question 4

Find the product for the following:

(3x + 2)²

Accepted Answer

9x²+ 12x + 4

Answer

9x2 + 4

Answer

6x2 + 4

Answer

9x²+ 6x + 4

Question 5

Find the product for the following:

(2x - 8)²

Accepted Answer

4x²- 32x + 64

Answer

4x2 + 64

Answer

4x²+ 32x - 64

Answer

4x²- 16x + 64

Question 6

Find the product for the following:

(3x + 4)²

Accepted Answer

9x²+ 24x + 16

Answer

6x² + 12x + 16

Answer

9x² + 12x + 16

Answer

9x2 + 16

Question 7

Find the product for the following:

(x + 9) (x - 9)

Accepted Answer

x2 - 81

Answer

x2 + 81

Answer

x² - 18x - 81

Answer

x² + 18x - 81

Question 8

Find the product for the following:

$$(x+9)^2$$

Accepted Answer

x² + 18x + 81

Answer

x2 - 81

Answer

x2 + 81

Answer

x² - 18x - 81

Question 9

Find the product for the following:

(x + 12) (x - 12)

Accepted Answer

x2 - 144

Answer

x2 + 144

Answer

x² + 12x - 144

Answer

x² - 12x + 144

Question 10

Find the product for the following:

(5x - 1) (5x + 1)

Accepted Answer

25x2 - 1

Answer

25x2 + 1

Answer

25x² + 2x - 1

Answer

25x² - 2x - 1

Question 11

Find the product for the following:

(3x - 8) (3x + 8)

Accepted Answer

9x2 - 64

Answer

9x2 + 64

Answer

9x² + 48x - 64

Answer

9x² - 48x - 64

Question 12

Find the product for the following:

$$(x^2-6)(x^2+6)$$

Accepted Answer

$$x^4-36$$

Answer

$$x^4-12x^2-36$$

Answer

x⁴+ 12x - 36

Answer

$$x^4\ +36$$

Question 13

Find the product for the following:

$$(y^2+2)(y^2-2)$$

Accepted Answer

y4 - 4

Answer

y²+ 4y + 4

Answer

y⁴- 4y - 4

Answer

y4 + 4

Question 14

Multiply
x²(2x+3)

Accepted Answer

2x3+3x2

Answer

x2+2x+3

Answer

2x+3

Answer

2x2+3x

Question 15

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 16

(x+10)(x-10)

Accepted Answer

x2 - 100

Answer

x2 + 100

Answer

x² + 20x - 100

Answer

x² -20x + 100

Question 17

(x-3)(x²+2x+7)

Accepted Answer

x³- x²+ x - 21

Answer

x³+ 5x + 13x - 21

Answer

x³- 3x²+ 7x - 21

Answer

x²+ 2x - 3

Question 18

Find the product:

(3x - 5) ( 4x² - 2x - 3)

Accepted Answer

12x³ - 26x² + x + 15

Answer

12x³ - 26x² - 25x + 15

Answer

12x³ - 20x² - 5x + 15

Answer

12x³ - 20x² - 6x + 15

Question 19

Find the product:

(x - 2) (3x²+ 2x - 4)

Accepted Answer

3x³-4x²-8x +8

Answer

3x2 -4x +8

Answer

3x³+4x²-8x -8

Answer

3x³-x²+8x +8

Question 20

Subtract the polynomial $$\left(5v^4+9\right)-\left(4-6v^4\right)$$

Accepted Answer

$$11v^4+5$$

Answer

$$v^4-13$$

Answer

$$v^4+5$$

Answer

$$11v^4-5$$

Question 21

Subtract the polynomial $$\left(3m^2+4m-16\right)-\left(5m^3+3m^2+1\right)$$

Accepted Answer

$$-5m^3+4m-17$$

Answer

$$-5m^3+4m-15$$

Answer

$$-5m^3+6m^2+4m-17$$

Answer

$$-5m^3+6m^2+4m-15$$

Question 22

Classify the polynomial by degree and number of terms $$24y^3$$

Accepted Answer

Cubic Monomial

Answer

Cubic Trinomial

Answer

Constant Monomial

Answer

Linear Trinomial

Question 23

Classify the polynomial by degree and number of terms $$9a-11$$

Accepted Answer

Linear Binomial

Answer

Constant Binomial

Answer

Quadratic Binomial

Answer

Linear Monomial

Question 24

Classify the polynomial by the degree and number of terms $$7k^2-4k+3$$

Accepted Answer

Quadratic Trinomial

Answer

Quartic Trinomial

Answer

Cubic Binomial

Answer

Quadratic Binomial

Question 25

6k2 * k

Accepted Answer

6k3

Answer

6

Answer

6k

Answer

6k2

Question 26

2n⁴ * 5n⁴

Accepted Answer

10n8

Answer

7n4

Answer

10n16

Answer

none of the above

Question 27

2n⁴ * 6n⁴

Accepted Answer

12n8

Answer

8n4

Answer

8n16

Answer

none of the above

Question 28

(3c²)(10c⁷)

Accepted Answer

30c9

Answer

13c9

Answer

30c5

Answer

-30c9

Question 29

Simplify:
x²(2x+3)

Accepted Answer

2x3+3x2

Answer

x2+2x+3

Answer

2x+3

Answer

2x2+3x

Question 30

5x(4x³ + 8)

Accepted Answer

20x⁴ + 40x

Answer

9x⁴ + 40x

Question 31

4m(3m⁷ + 2m⁵)

Accepted Answer

12m⁸ + 8m⁶

Answer

7m⁷ + 6m⁶

Question 32

-8x(x - 8)

Accepted Answer

-8x² + 64x

Answer

-8x2 - 64

Question 33

Simplify:

Accepted Answer

-4x2 - 6x

Answer

-4x - 3

Answer

x2 - 3

Answer

-4x - 6

Question 34

7v³*10u³v⁵

Accepted Answer

70u3v8

Answer

70u3v6

Answer

17u3v8

Answer

none of the above

Question 35

9xy² * 9x⁵y²

Accepted Answer

81x6y4

Answer

18x6y6

Answer

9x6y4

Answer

none of the above

Question 36

Multiply -7x(3x² + 4x + 1)

Accepted Answer

-21x³ - 28x² - 7x

Answer

-10x³ + 11x - 7

Question 37

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 38

6m³n³* 8m²n³

Accepted Answer

48m5n6

Answer

48m5n9

Answer

48m6n6

Answer

none of the above

Question 39

Multiply (6m³n³)(8m²n³)

Accepted Answer

48m5n6

Answer

48m5n9

Answer

48m6n6

Answer

none of the above

Question 40

Multiply (7v³)(10u³v⁵)

Accepted Answer

70u3v8

Answer

70u3v6

Answer

17u3v8

Answer

none of the above

Question 41

Find the product for the following:

(2x - 8)²

Accepted Answer

4x²-16x + 64

Answer

4x2 + 64

Answer

4x²+ 16x - 64

Answer

4x2 - 64

Question 42

Find the product for the following:

(x - 6) (x + 6)

Accepted Answer

x2 - 36

Answer

x²- 12x - 36

Answer

x²+ 12x - 36

Answer

x2 + 36

Question 43

Find the product for the following:

(x + 2) (x - 2)

Accepted Answer

x2 - 4

Answer

x²+ 4x + 4

Answer

x²- 4x - 4

Answer

x2 + 4

Question 44

Find the product for the following:

(5x - 1) (5x + 1)

Accepted Answer

25x2 - 1

Answer

25x² + 2x - 1

Answer

25x² - 2x - 1

Question 45

Which of the following are examples of like terms?

Accepted Answer

-3x and 3x

Answer

2 and 2x

Answer

y3 and x3

Answer

y and x

Question 46

How many terms are in the following polynomial?
3x³ - 2y + 8x -16

Accepted Answer

4

Answer

1

Answer

2

Answer

-16

Question 47

What is the correct name of the following:
3x + 5y² - 3

Accepted Answer

trinomial

Answer

monomial

Answer

binomial

Answer

polynomial

Question 48

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

Accepted Answer

11x⁴ + 2x² + 14x

Answer

16x⁴ + x² + 14x

Answer

11x⁴ + x² + 14x

Answer

11x⁴ + 2x² + 10x

Question 49

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

Accepted Answer

5b⁴ - 2b³ + 4

Answer

4b⁴ - 2b³ + 7

Answer

b⁴ - 2b³ + 7

Answer

5b⁴ - 2b³ + 7

Question 50

Simplify:
2x ( -2x -3)

Accepted Answer

-4x2 - 6x

Answer

-4x - 3

Answer

x2 - 3

Answer

-4x - 6

Question 51

Find the product:
(n - 5)(n - 1)

Accepted Answer

n² - 6n + 5

Answer

n² - 5n + 5

Answer

n2 + 5

Answer

n² + 6n + 5

Question 52

Find the product:
(3x + 2)(2x + 4)

Accepted Answer

6x² + 16x + 8

Answer

5x² +11x + 6

Answer

5x² + 16x + 6

Answer

6x² + 11x + 8

Question 53

Multiply
(x²-2x+1)(x+1)

Accepted Answer

x³-x²-x+1

Answer

x3-2x+2

Answer

x³+x²+x+1

Answer

x³-3x²-3x+1

Question 54

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

Accepted Answer

11x⁴ + 2x² + 14x

Answer

16x⁴ + x² + 14x

Answer

11x⁴ + x² + 14x

Answer

11x⁴ + 2x² + 10x

Question 55

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

Accepted Answer

5b⁴ - 2b³ + 4

Answer

4b⁴ - 2b³ + 7

Answer

b⁴ - 2b³ + 7

Answer

5b⁴ - 2b³ + 7

Question 56

Simplify
(3x⁴ - 4 - 5x²) + (1 - x² + 2x³)

Accepted Answer

3x⁴ +2x³ - 6x² - 3

Answer

3x⁴ - 7x³ - 4x² - 5

Answer

3x⁴ - 7x³ - 4x² - 4

Answer

3x⁴ - 5x³ - 4x² - 4

Question 57

Question 57.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 58

Bonus round, can you guess how to solve these challenge problems?

Divide 6x+12 by 3x

Accepted Answer

2+4/x

Answer

2+3x

Answer

2+6/3x

Answer

3+6/2x

Question 59

Bonus round, can you guess how to solve these challenge problems?

Accepted Answer

4y6

Answer

4y22

Answer

30y6

Answer

30y22

Question 60

Bonus round, can you guess how to solve these challenge problems?

Accepted Answer

b6/2a2

Answer

2a2b6

Answer

1/2a2b6

Answer

2b6/a2

Question 61

Bonus round, can you guess how to solve these challenge problems?

Accepted Answer

8x4

Answer

8x8

Answer

6x4

Answer

6x8

Question 62

( 2x - 8)²

Accepted Answer

4x²-16x + 64

Answer

4x2 + 64

Answer

4x²+ 16x - 64

Answer

4x2 - 64

Question 63

(x - 4)2

Accepted Answer

x²- 8x +16

Answer

X2 - 16

Answer

X² +8x -16

Answer

x2 + 4

Question 64

Multiply (x + 2)(x - 2)

Accepted Answer

x2 - 4

Answer

x²+ 4x + 4

Answer

x²- 4x - 4

Answer

x2 + 4

Question Bank for Polynomial Operations

136 questions

Find the product for the following:
(x + 3) (x + 3)

Find the product for the following:
(x - 4) (x - 4)

Find the product for the following:
(x - 4)²

Find the product for the following:
(x − 6)²

Find the product for the following:
(x + 8)²

Find the product for the following:
(3x + 2)²

Find the product for the following:
(2x - 8)²

Find the product for the following:
(2x − 5)²

Find the product for the following:
(3x + 4)²

Find the product for the following:
(x + 9) (x - 9)

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Question Bank for Polynomial Operations

136 questions

Find the product for the following:(x + 3) (x + 3)

Find the product for the following:(x - 4) (x - 4)

Find the product for the following:(x - 4)2

Find the product for the following:(x − 6)2

Find the product for the following:(x + 8)2

Find the product for the following: (3x + 2)2

Find the product for the following: (2x - 8)2

Find the product for the following: (2x − 5)2

Find the product for the following:(3x + 4)2

Find the product for the following: (x + 9) (x - 9)

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Discover more resources for Mathematics

Find the product for the following:
(x + 3) (x + 3)

Find the product for the following:
(x - 4) (x - 4)

Find the product for the following:
(x - 4)²

Find the product for the following:
(x − 6)²

Find the product for the following:
(x + 8)²

Find the product for the following:
(3x + 2)²

Find the product for the following:
(2x - 8)²

Find the product for the following:
(2x − 5)²

Find the product for the following:
(3x + 4)²

Find the product for the following:
(x + 9) (x - 9)