Quiz about Polynomial Operations Review

Question 1

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

Accepted Answer

4

Answer

1

Answer

2

Answer

-16

Question 2

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 3

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

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 4

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 5

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

Accepted Answer

4x + 10 = 150

Answer

2x + 5 = 150

Answer

4x + 5 = 150

Answer

2x + 10 = 150

Question 6

The side length of a square is (x - 7), which of the following below would represent the area?

Accepted Answer

x2-14x+49

Answer

x2-49

Answer

x2+49

Answer

x2-14x-49

Question 7

What is the constant of this polynomial?

2x³-8x²+3x-7

Accepted Answer

-7

Answer

2

Answer

-8

Answer

3

Question 8

What is the leading term of this polynomial?

4x³+8x⁵-4x²+1x

Accepted Answer

8x5

Answer

1x

Answer

4x3

Answer

-4x2

Question 9

4k²(6k² + 9kq - 5q²)

Accepted Answer

24k⁴ + 36k³q - 20k²q²

Answer

24k² + 36k³q - 20k²q²

Answer

24k⁴ + 36kq - 20k²q²

Answer

24k + 36 kq - 20 k²q

Question 10

^{The perimeter of the
triangle is 10x+20. Find the length of the missing side}

Accepted Answer

5x+10

Answer

6x+10

Answer

15x+30

Answer

5x-10

Question 11

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

Accepted Answer

-47b +19

Answer

-33b + 19

Answer

-47b² + 21

Answer

33b - 19

Question 12

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 13

Multiply
(4x+3)(2x-1)

Accepted Answer

8x2+2x-3

Answer

8x2-2x-3

Answer

8x-3

Answer

8x2+6x-3

Question 14

______________________________ arranges the terms by degree in descending numerical order.

Accepted Answer

standard form of polynomial

Answer

degree of polynomial

Answer

polynomial

Answer

terms

Question 15

Simplify.

$$\left(3x\ +4\right)\left(2x-5\right)$$

Accepted Answer

$$6x^2-7x-20$$

Answer

$$5x\ -1$$

Answer

$$x+9$$

Answer

$$6x^2+23x+20$$

Question 16

Which expression is equivalent to the following?

$$4x^3y\left(-2x^3y^2+4x^2y\right)$$

Accepted Answer

$$-8x^6y^3+16x^5y^2$$

Answer

$$8x^{11}y^5$$

Answer

$$2x^6y^3+8x^5y^2$$

Answer

$$-8x^9y^2+16x^6y$$

Question 17

Which is equivalent to

$$\left(7x^2+12x-4\right)+\left(3x^2-5x-11\right)$$

Accepted Answer

$$10x^2+7x-15$$

Answer

$$10x^4+7x^2-15$$

Answer

$$10x^2+17x+15$$

Answer

$$10x^4+17x^2+15$$

Question 18

Which is equivalent to the following expression?

$$\left(22x^2+3x-10\right)-\left(13x^2+6x-5\right)$$

Accepted Answer

$$9x^2-3x-5$$

Answer

$$9x^2-3x-15$$

Answer

$$35x^2+9x-15$$

Answer

$$9x^2+3x-15$$

Polynomial Operations Review

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