Free Printable Factoring polynomial area

1.

Which number makes the equation true? x² + 10x +16 = (x +8)(x + ___ )

a)

2

b)

4

c)

6

d)

8

2.

The area of a garden is given by the trinomial g² - 2g - 24. The garden's length is (g+4). What could be the garden's width?

a)

(g - 2)

b)

(g - 6)

c)

(g - 8)

d)

(g + 2)

3.

Given the area, what are the length and width?

a)

(3)(5x+1)

b)

(15x+3)(1)

c)

(3x+1)(-15)

d)

(1/3)(45x+9)

4.

Given the area of a rectangle

8x^2+6x

and a side of

2x

what is the length of the other side?

a)

4x+3

b)

3x+4

c)

$16x^3+12x^2$

d)

$16x^4$

5.

Given the area of a rectangle

5x^2y^4-15xy^2

what are the dimensions?

a)

$\left(5xy^2\right)\left(xy^2-3\right)$

b)

$\left(5xy^2\right)\left(xy^2+3\right)$

c)

$\left(xy^2\right)\left(xy^2-1\right)$

d)

$\left(5x^2y^4\right)\left(xy^2-1\right)$

6.

Given the area of a rectangle

20mn^2-5m^2n^3+15m^3n^5

what are the dimensions?

a)

$\left(5mn^2\right)\left(4-mn+3m^2n^3\right)$

b)

$\left(mn^2\right)\left(20-5mn+15m^2n^3\right)$

c)

$\left(5mn\right)\left(4+mn-3m^2n^3\right)$

d)

$\left(5mn^2\right)$

7.

A rectangle has an area of 4x²+19x + 12 and a length of (x + 4). What is the width?

a)

4x - 3

b)

4x + 3

c)

2x + 6

d)

2x + 3

8.

What is the width of this rectangle?

a)

5x⁴ + 10x³

b)

x + 15x³

c)

x + 3

d)

x⁴ + 3x³

9.

If $\left(x-3\right)$ and $\left(x+7\right)$ are the factors of the trinomial $x^2+bx-21$ , what is the value of b?

a)

$-3$

b)

$-4$

c)

$7$

d)

$4$

10.

If $\left(2x-3\right)$ and $\left(x+5\right)$ are multiplied to form the trinomial $ax^2+bx+c$ , what is the value of b?

a)

$-15$

b)

$2$

c)

$7$

d)

$4$

Factoring polynomial area

Total questions: 10

Worksheet time: 50mins

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