Free Printable Multiplying Polynomials- Part 2

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Worksheets

Multiplying Polynomials- Part 2

Total questions: 21

Worksheet time: 5hrs 15mins

Name

Class

Date

1.

4(x + 2) + 6x

a)

4x + 2 + 6x

b)

4x + 8 + 6x

c)

10x + 8

d)

10x + 2

2.

6(3x + 5) + 2(x - 4)

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

3.

$\left(x-2\right)\left(3x^2-2x+1\right)$

a)

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

b)

$3x^3-8x^2+5x-2$

c)

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

d)

$3x^3-8x^3-2x+2$

4.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

5.

Multiply:

(y + 9)²

a)

y² +18y + 81

b)

y² + 81

c)

y + 9

d)

y² +18y + 18

6.

Simplify:
3x³(2x² + 9x + 6)

a)

6x⁵ + 27x⁴ + 18x

b)

6x⁵ + 18x² + 9

c)

6x⁵ + 27x⁴ + 18x³

d)

6x⁵ + 45x³

7.

(3n-4)(3n-4)

a)

$9n^2-24n+16$

b)

$3n^2-4x+8$

c)

$n^2-24n+16$

8.

(k+4)(5k-1)

a)

$5k^2+4k-4$

b)

$5k^2+19k-4$

c)

$k^2+4k-1$

9.

(2x-9)(2x+4)

a)

$4x^2+4x+4$

b)

$2x^2-9x+4$

c)

$4x^2-10x-36$

10.

$\left(m+5\right)\left(m^2+4m-8\right)$

a)

$m^3+4m^2-8m+5m^2+20m-40$

b)

$m^2+40m+m^3$

c)

$m^3+9m^2+12m-40$

11.

$\left(x+3\right)\left(x^2+4x+7\right)$

a)

$x^3+7x^2+19x+21$

b)

$x^2+19x+7x+7$

c)

$x^3+x^2+19x+7$

12.

Simplify the expression

(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

13.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

14.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

15.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

16.

(b + 3)(b²+ 2b + 1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

17.

Simplify
$3a(𝑎^2-3a+4)-4(3𝑎^3-2𝑎^2).$

a)

$–12𝑎^3+11𝑎^2\ -9a+12$

b)

$–15𝑎^3-17𝑎^2+12a$

c)

$–9𝑎^3-𝑎^2+12a$

d)

$–3𝑎^3+5𝑎^2+4a$

18.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$

a)

TRUE

b)

FALSE

19.

Find the product: $\left(y+4\right)^{3\ }$

a)

$y^3+64$

b)

$y^2+8y+16$

c)

$y^3+12y^2+48y+64$

d)

$y^3+4y^2+16y+64$

20.

$\left(3t-4\right)^3$ Find the product:

a)

$27t^3-108t^2+144t-64$

b)

$9t^3-64$

c)

$9t^2-24t+16$

d)

$27t^3+108t^3-144t+64$

21.

$\left(x^2-1\right)^3$ Find the product:

a)

$x^2-2x+1$

b)

$x^6-1$

c)

$x^5-3x^3+3x^{ }-1$

d)

$x^6-3x^4+3x^2-1$

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