Quiz about Polynomial Operations Review

Question 1

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 2

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 3

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 4

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

Accepted Answer

4

Answer

1

Answer

2

Answer

-16

Question 5

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

Accepted Answer

trinomial

Answer

monomial

Answer

binomial

Answer

polynomial

Question 6

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

Accepted Answer

n² - 6n + 5

Answer

n² - 5n + 5

Answer

n2 + 5

Answer

n² + 6n + 5

Question 7

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 8

Simplify:
2x ( -2x -3)

Accepted Answer

-4x2 - 6x

Answer

-4x - 3

Answer

x2 - 3

Answer

-4x - 6

Question 9

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 10

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 11

Question 11.

Accepted Answer

8x4

Answer

8x8

Answer

6x4

Answer

6x8

Question 12

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 13

(x³-x²+4) - (3x³-2x²+3)

Accepted Answer

-2x³+x²+1

Answer

-2x³-3x²+7

Answer

2x³-3x³-1

Answer

4x³-3x²+7

Question 14

What is the correct name of the following:

3x + 5y² - 3

Accepted Answer

quadratic trinomial

Answer

linear binomial

Answer

linear trinomial

Answer

quadratic polynomial

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-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 17

Classify this polynomial by its degree and number of terms: x² + 6

Accepted Answer

Quadratic binomial

Answer

Linear polynomial

Answer

Quadratic trinomial

Answer

Cubic binomial

Question 18

Classify this polynomial by its degree and number of terms: x³ + 2x + 6

Accepted Answer

Cubic trinomial

Answer

Cubic polynomial

Answer

Quadratic binomial

Answer

Quadratic trinomial

Question 19

x4+2

Accepted Answer

Quartic binomial

Answer

Quadratic binomial

Answer

Quadratic monomial

Answer

Quartic trinomial

Question 20

8

Accepted Answer

Constant monomial

Answer

Constant polynomial

Answer

Linear monomial

Answer

Linear monomial with 0 terms

Question 21

9x4

Accepted Answer

Quartic monomial

Answer

Quadratic polynomial

Answer

Quadratic monomial

Answer

Cubic monomial

Question 22

Use synthetic division

Accepted Answer

2x² + 3x + 8 + (7/x-4)

Answer

2x³ + 3x (7/x-4)

Answer

2x² + 3x + 8

Answer

2x² - x + 10 + (6/x-4)

Question 23

Divide using long division

Accepted Answer

2x + 4

Answer

2x - 5

Answer

x - 4 + (3/4x - 5)

Answer

2x + 4 + (3/4x - 5)

Question 24

Is (x-7) a factor of (x²-5x+14)?

Accepted Answer

No

Answer

Yes

Question 25

Simplify:

Accepted Answer

7n3 + 6

Answer

9n3 + 4n

Answer

-3n3 + 2

Answer

7n6 + 6

Question 26

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 27

Question 27.

Accepted Answer

2x² + 3x + 8 + (7/x-4)

Answer

2x³ + 3x + (7/x-4)

Answer

2x² + 3x + 8

Answer

2x² - x + 10 + (6/x-4)

Question 28

Find the perimeter.

Accepted Answer

4x - 4

Answer

2x - 2

Answer

6x - 15

Answer

4x + 16

Question 29

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 30

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 31

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 32

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

Accepted Answer

trinomial

Answer

monomial

Answer

binomial

Answer

polynomial

Question 33

Classify the polynomial

Accepted Answer

Binomial

Answer

Monomial

Answer

Trinomial

Answer

Polynomial

Question 34

(x³-x²+4) - (3x³-2x²+3)

Accepted Answer

-2x³+x²+1

Answer

-2x³-3x²+7

Answer

2x³-3x³-1

Answer

4x³-3x²+7

Question 35

Multiply (4x + 3)(x + 2)

Accepted Answer

4x² + 11x + 6

Answer

x² + 11x + 6

Answer

4x² + 8x + 6

Answer

4x² + 3x + 6

Question 36

Simplify:
(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 37

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

Accepted Answer

-96

Answer

4

Answer

-24

Answer

216

Question 38

Find the 4th term in the expansion of (4x-3)⁵.

Accepted Answer

-4320x2

Answer

5760

Answer

5760x3

Answer

-4320

Question 39

Classify by terms

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Polynomial

Question 40

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 41

A function with degree 3 is called

Accepted Answer

cubic

Answer

constant

Answer

linear

Answer

quadratic

Question 42

Multiply (2x + 3)(2x - 3)

Accepted Answer

4x2 - 9

Answer

4x² - 12x + 9

Answer

4x² + 12x - 9

Answer

4x2 + 9

Question 43

Simplify: (x - 5)²

Accepted Answer

x² - 10x + 25

Answer

x2 - 25

Answer

x2 + 25

Answer

x² - 5x - 25

Question 44

Expand the binomial (2x+3)⁴

Accepted Answer

16x⁴+96x³+216x²+216x+81

Answer

16x4+81

Answer

x⁴+4x³+6x²+4x+1

Answer

16x⁴+186x³+398x²+312x+81

Question 45

Simplify:

Accepted Answer

35x² + 12x - 36

Answer

35x2 - 36

Answer

12x² - 72x

Answer

12x² + 2x - 12

Question 46

What is the degree?

Accepted Answer

7

Answer

4

Answer

6

Answer

3

Question 47

Simplify

Accepted Answer

1

Answer

(1/8)x^-2y²

Answer

8x2y-2

Answer

0

Question 48

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 49

Simplify the expression
(x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x2 + 9

Answer

x² + 6x - 9

Answer

x² + 6x + 9

Question 50

Simplify:
(x - 7)(x + 7)

Accepted Answer

x2 - 49

Answer

x² + 7x - 49

Answer

x² - 7x + 49

Answer

x2 + 49

Question 51

(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 52

According to exponent rules, when we multiply powers we _______ the exponents.

Accepted Answer

add

Answer

subtract

Answer

multiply

Answer

divide

Question 53

Find the product:
(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 54

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 55

Simplify the expression
(x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x2 + 9

Answer

x² + 6x - 9

Answer

x² + 6x + 9

Question 56

Find the product:
(3r-4)(7r-5)

Accepted Answer

21r²-43r+20

Answer

21r+43r²+9

Answer

7r+12r

Answer

r+2r

Question 57

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 58

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

Accepted Answer

4p³ -3p² +16p -10

Answer

-3p²+ 4p³ -15 + 9

Answer

3p³ + 4p² - p + 3

Answer

4p³ +3p² + 16p + 10

Question 59

Find the perimeter of the rectangle

Accepted Answer

P= 10x + 2

Answer

P= 12x

Answer

P = 12

Answer

P = 6x² + 3x

Question 60

Simplify:
(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 61

Find the product.

Accepted Answer

a² + 2ab + b²

Answer

a2 + b2

Answer

a2 - b2

Answer

2a + 2b

Question 62

Divide.

Accepted Answer

3x² - 2x - 2 + ^-4/_x-1

Answer

3x² - 8x + 6

Answer

3x² - 8x + 8 + ^-10/_x-1

Answer

3x² - 2x - 4

Question 63

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

Accepted Answer

8x - 2

Answer

4x - 12

Answer

4x - 1

Answer

4x²- 2x - 12

Polynomial Operations Review

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