Free Printable 7.7 Factoring Trinomials

1.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

2.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

3.

Factor
x² - 5x - 36

a)

(x - 4)(x + 9)

b)

(x - 6)(x + 6)

c)

(x + 4)(x - 9)

d)

(x -12)(x + 3)

4.

Factor
k² - 2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

5.

Factor:
x² + 0x - 144

a)

(x + 12)²

b)

(x - 12)(x + 12)

c)

(x - 12)²

d)

12²

6.

Factor Completely
$v^2+11v+28$

a)

$\left(v-7\right)\left(v+4\right)$

b)

$\left(v+7\right)\left(v-4\right)$

c)

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

d)

$\left(v+7\right)\left(v+4\right)$

7.

Factor Completely
$n^2-12n+35$

a)

$4\left(n+9\right)\left(n+10\right)$

b)

$\left(n-7\right)\left(n-5\right)$

c)

$\left(n-7\right)\left(n+5\right)$

d)

Not Factorable

8.

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

a)

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

b)

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

c)

$\left(x-3\right)\left(x-1\right)$

d)

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

9.

Factor Completely
$5x^2+20x-105$

a)

$5\left(x-3\right)\left(x+7\right)$

b)

$5\left(x+3\right)\left(x-7\right)$

c)

$5\left(x-3\right)\left(x-7\right)$

d)

Not Factorable

10.

Factor Completely
$6p^2+90p+300$

a)

$6\left(p+5\right)\left(p+10\right)$

b)

$5\left(p-6\right)\left(p-10\right)$

c)

$6\left(p+5\right)\left(p-10\right)$

d)

$\left(p+8\right)\left(p+9\right)$

11.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

12.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

13.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

14.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

15.

Factor x² + 15x + 36

(a)

16.

$\left(a+10\right)$ represents the length of a rectangle.

Find its width if its area is $a^2+a-90$ .

4 lines

17.

Multiply.
$3\left(2a-1\right)\left(a+4\right)$

4 lines

18.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

19.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

20.

Factor completely.
5x²-15x+10

a)

(5x - 2)(x - 5)

b)

5(x - 2)(x + 1)

c)

(5x + 2)(x + 5)

d)

5(x - 2)(x - 1)

7.7 Factoring Trinomials

Total questions: 20

Worksheet time: 2hrs 55mins

Similar Resources on Wayground