Free Printable Multiplying Polynomials 10B/10D

1.

Which expression is equivalent to $\left(n-4\right)\left(2n+7\right)$ ?

a)

$3n+3$

b)

$n-28$

c)

$2n^2-15n-28$

d)

$2n^2-n-28$

e)

$2n^2+3n-3$

2.

Which expression is equivalent to $\left(\frac{3}{2}p+1\right)\left(\frac{1}{2}p+3\right)$ ?

a)

$2p^2+3$

b)

$4p^2+3$

c)

$\frac{3}{4}p^2+5p+3$

d)

$\frac{3}{4}p^2+10p+3$

e)

$4p^2+2p+3$

3.

Which expression is equivalent to $\left(h^2+9h-1\right)\left(-4h+3\right)$ ?

a)

$-4h^3-33h^2+31h-3$

b)

$4h^3+39h^2-23h-3$

c)

$-4h^3-39h^2+23h+3$

d)

$4h^3+33h^2-31h+3$

e)

$-4h^3+33h^2-23h+3$

4.

A floor plan is shown for a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

a)

$20x^2+36x-16$

b)

$20x^2-4x-16$

c)

$16x^2-16$

d)

$9x^2-16$

e)

$20x^2-16$

5.

Which expression is equivalent to $35m^2-63$ ?

a)

$7\left(5m^2-9\right)$

b)

$-7\left(5m^2+9\right)$

c)

$7m\left(5m-9\right)$

d)

$-7m\left(5m+9\right)$

e)

$5\left(7m^2-9\right)$

6.

Which expression is equivalent to $210d^2-63d$ ?

a)

$21d\left(10d-3\right)$

b)

$21d\left(10d+3\right)$

c)

$21\left(10d+3\right)$

d)

$21\left(10d-3\right)$

e)

$21\left(-10d+3\right)$

7.

Which expression is equivalent to $-28x^2+35x$ ?

a)

$7x\left(4x+5\right)$

b)

$-7x\left(4x-5\right)$

c)

$7x\left(4x-5\right)$

d)

$-7x\left(4x+5\right)$

e)

$7x\left(-4x-5\right)$

8.

Simplifying the following polynomial $6x\left(-3x-4\right)$ .

9.

Simplify the following polynomial $-7\left(-x^2+8x-2\right)$

10.

Simplifying the following polynomial $4\left(12x^2+7x-1\right)+3x^2$

11.

Simplify the following expression $-13x+\frac{2}{5}x\left(25x-10\right)$ .

12.

Multiply the following polynomial $\left(x+6\right)\left(-4x-5\right)$ .

13.

Multiply the following polynomial $\left(2x+5\right)\left(x-7\right)$

14.

Multiply the following $\left(6+7x\right)\left(-3x+10\right)$

15.

Multiply the following $\left(x+2\right)\left(x^2-3x+4\right)$

16.

Multiply the following $\left(-6x+5x^2+4\right)\left(-3x+2\right)$

17.

Multiply the following $\left(x-5\right)^2$

18.

Multiply the following $\left(x+2\right)\left(4x+5\right)$

19.

Multiply the following $\left(x+1\right)^2$

20.

Multiply the following $\left(x-6\right)^2$

21.

Multiply the following $\left(x+5\right)^2$

22.

Multiply the following $\left(2x-3\right)^2$

23.

Multiply the following $\left(4x+2\right)^2$

24.

Multiply the following $\left(x+3\right)\left(x-3\right)$

25.

Multiply the following $\left(x-5\right)\left(x+5\right)$

26.

Multiply the following $\left(3x-2\right)\left(3x+2\right)$

27.

Multiply the following $\left(4x+6\right)\left(4x-6\right)$

28.

Multiply the following $\left(6x+7\right)\left(6x-7\right)$

29.

Find the area of the square.

a)

$4x-40$

b)

$x^2-100$

c)

$x^2-20x+100$

d)

$x^2-20x-100$

e)

$x^2+4x+100$

30.

Joy multiplied $\left(3x-3\right)$ by a second binomial. If the product was $9x^2-18x+9$ , what is was the second binomial?

a)

$\left(3x-3\right)$

b)

$\left(3x+3\right)$

c)

$\left(3x-6\right)$

d)

$\left(3x+6\right)$

e)

$\left(-3x+3\right)$

31.

Find the product of $\left(x-7\right)\left(x^2+5x+3\right)$

32.

Simplify the following $-9w\left(8w-4\right)$

a)

$-72x^2-36w$

b)

$72w^2+12w$

c)

$-72w^2-9w$

d)

$72w^2+36w$

e)

$-72w^2+36w$

33.

Find the area of the rectangle.

(USE VARIABLE X)

34.

Find the product $\left(x+8\right)\left(4x^2-5x+1\right)$

35.

Camden multiplied two binomials to get $49x^2-100$ . Find the two binomials that Camden multiplied.

a)

$\left(7x-10\right)\left(7x-10\right)$

b)

$\left(7x-10\right)\left(7x+10\right)$

c)

$\left(7x+10\right)\left(7x+10\right)$

d)

$\left(-7x-10\right)\left(-7x-10\right)$

e)

$\left(-7x+10\right)\left(-7x+10\right)$

36.

Find the area of the square.

37.

Find the product of $\left(x+7\right)\left(x+8\right)$

38.

Find the product of $\left(x+2\right)\left(x-3\right)$

39.

Find the product of $\left(x+2\right)\left(6x-1\right)$

40.

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

41.

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

42.

Find the product of $\left(x+1\right)\left(-2x^2-x+6\right)$

43.

Multiply $\left(2x+2\right)\left(6x+1\right)$

44.

Multiply $\left(x-3\right)\left(6x-2\right)$

45.

Multiply $\left(6x+8\right)\left(5x-8\right)$

46.

Multiply $\left(2x-1\right)\left(8x-5\right)$

47.

Multiply $\left(4x-1\right)^2$

48.

Multiply $\left(6x+5\right)\left(5x+5\right)$

49.

Multiply $\left(4x+2\right)\left(6x^2-x+2\right)$

50.

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

51.

Multiply $\left(7x^2\ -\ 6x\ -\ 6\right)\left(2x\ -4\right)$

52.

Multiply $\left(6x^2-6x-5\right)\left(7x^2+6x-5\right)$

53.

Multiply $\left(x^2-7x-6\right)\left(7x^2-3x-7\right)$

Multiplying Polynomials 10B/10D

Total questions: 53

Worksheet time: 2hrs 32mins

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