Free Printable Multiplying and Dividing Polynomials Ap. 23, 2020

Worksheets

Multiplying and Dividing Polynomials Ap. 23, 2020

Total questions: 30

Worksheet time: 2hrs 34mins

Name

Class

Date

Determine the product of (3c)(10c)

13c²

30c

30c²

13c

Simplify

(x³-x²+4) - (3x³-2x²+3)

-2x³-3x²+7

-2x³+x²+1

2x³-3x³-1

4x³-3x²+7

(5x²y-xy²+5x-3)+(4xy²-3y+7xy-5)+(2x²y-3xy)

7x²y + 3xy² - 3y + 4xy + 5x - 8

7x²y + 3xy² - 3y + 4xy + 5x + 2

7x²y - 5xy² - 3y + 4xy + 5x - 8

3x²y + 3xy² - 3y + 4xy + 5x - 8

Dividex⁴ + x³ +2x² +x -1 by (x+1)

x² + 2x -1

x³ + 2x-1

x² - 2x + 1

x³ - 2x + 1

Simplify
2(4x+5)

8x-10

8x+10x

None of the above

8x+10

Multiply (3x – 1)(x + 5)

3x² + 4x + 5

3x² + 4x - 5

3x² + 14x + 5

3x² + 14x - 5

Expand 3a(5a² + 8a + 2) using the distributive property.

15a³ + 24a² + 6a

10a³ + 24a + 6

8a³ + 11a² + 6a

15a² + 24a + 6

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden.

6x² + 21x

6x² - 21

6x²- 21x

5x² + 21x

Write a polynomial expression for the area of the triangle:

18x² - 54x

9x² + 9

36x² + 108x

9x² + 27x

10.

What is the degree of the following polynomial?

3x⁴ + 4x + 1

(a)

11.

Find the quotient.

54y¹⁰÷ -6y¹³

9x³

-9x^-3

9x²³

-9x-23

12.

Simplify the expression

7u²v⁵ (-9uv³)

(a)

13.

Simplify the expression

(3x - 5y)²

9x² - 25y²

9x² - 30xy + 25y²

9x² + 30xy + 25y²

9x² + 25y²

14.

Divide the polynomial by the monomial.

(a)

15.

Use si¿ynthetic Divison for

(a)

16.

Multiply: (2x - 1)(3x + 7)

6x² -17x - 7

6x² + 11x - 7

5x² +17x - 7

6x² -17x + 7

17.

(x-4)(x+4) = x² + 8

True

False

I do not know

I can remember

18.

5p²- 16p

5p + 4

5p - 4

5p + 4p

19.

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

20.

Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).

2x² + 2x - 4 R(-12)

2x² - 2x + 6 R(-23)

2x² - 2x + 8 R(-20)

2x² - 4x + 1 R0

21.

Divide (-20p² - 16p) by -4p

5p²- 16p

5p + 4

5p - 4

5p + 4p

22.

Divide (-20p⁸ - 16p⁴-8p² + 28) by -4p³

(a)

23.

Which of these is in Standard Form?

$4x^2+12x-13x^3$

$5-3x$

$2x^4-12x^2+5x-9$

$5x^5+4x^{\text{4}}+12x^3-23x+15$

24.

Put in Standard Form.
12 - 3x³ - 10x - x²

- 3x³ - x² - 10x + 12

3x³ - x² + 10x + 12

12 - 3x³ - 10x - x²It is in Standard Form.

12 - 10x - 3x³ - x²

25.

2x³ - 5x² + 3x + 7 ÷ x - 2

2x³ - x² + x + 9

2x² - x + 1

2x² - x + 1 + 9/x-2

2x² - 9x - 15 - 23/x-2

26.

Find the Quotient
(2x³ - 5x² - 3x + 7) / (x - 2)

2x²- 9x +15

2x² - x - 5

2x² - 9x - 21

2x² + x + 5

27.

Find the remainder Use Synthetic Division

(2x³ - 5x - 7) / (x + 2)

-9

-13

-1

28.

What is the width of this rectangle?

5x⁴ + 10x³

x + 15x³

x + 3

x⁴ + 3x³

29.

Multiply then simplify: (5x)(-4x + 2y)

20x² - 10xy

-20x² + 10xy

x² + 7xy

-9x² + 7xy

30.

Simplify:

6x² - 20x + 6

6x - 5

-14x +6

6x² - 11x - 6

Reset

Multiplying and Dividing Polynomials Ap. 23, 2020

Total questions: 30

Worksheet time: 2hrs 34mins

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