Free Printable Product/Factoring/Completing the Square/Rewriting the Perfect Sq

1.

Find the product.

$\left(v+3\right)\left(2v-4\right)$

a)

$2v^2+10v+12$

b)

$2v^2+2v-12$

c)

$2v^2-12$

d)

$2v^2-10v+12$

2.

Find the product.

$\left(k-1\right)\left(5k-4\right)$

a)

$5k^2+k-4$

b)

$5k^2-9k+4$

c)

$5k^2+4$

d)

$5k^2-k-4$

3.

Find the product.

$\left(2a^2+4a-1\right)\left(8a^2+7a-6\right)$

a)

$16a^4-18a^3-48a^2+17a+6$

b)

$16a^4+46a^3+8a^2-31a+6$

c)

$28a^4-36a^3+5a^2-22a-40$

d)

$16a^4+28a^2+6$

4.

Find the product.

$\left(2b^2-6b+3\right)\left(6b^2+6b+7\right)$

a)

$4b^2-14b^3-45b^2+4b+40$

b)

$12b^4-24b^3-4b^2-24b+21$

c)

$12b^4-48b^3+68b^2-60b+21$

d)

$4b^2+18b^3-29b^2-36b+40$

5.

Factor completely.

$n^2+2n-63$

a)

$\left(n+3\right)\left(n-21\right)$

b)

NOT FACTORABLE

c)

$\left(n-4\right)\left(n+6\right)$

d)

$\left(n-7\right)\left(n+9\right)$

6.

Factor completely

$n^2+14n+48$

a)

$\left(n+8\right)\left(n+6\right)$

b)

$\left(n-8\right)\left(n-6\right)$

c)

$\left(n+2\right)\left(n+24\right)$

d)

$\left(n+49\right)\left(n+1\right)$

7.

Factor completely.

$4r^2+4r-288$

a)

$4\left(r-8\right)\left(r-9\right)$

b)

$4\left(r-8\right)\left(r+9\right)$

c)

not factorable

d)

$\left(r-8\right)\left(r+9\right)$

8.

Factor completely

$6p^3-72p^2+162p$

a)

$6p\left(p-9\right)\left(p-3\right)$

b)

$6\left(p-9\right)\left(p+3\right)$

c)

$6\left(p+9\right)\left(p+3\right)$

d)

$6p\left(p+27\right)\left(p+1\right)$

9.

Factor completely.

$35b^3+40b^2+7b+8$

a)

$\left(5b^2+1\right)\left(7b+8\right)$

b)

$\left(5b^2+1\right)\left(7b+1\right)$

c)

$\left(5b^2+1\right)\left(7b-1\right)$

d)

$\left(5b^2-1\right)\left(7b-8\right)$

10.

Factor completely.

$35x^3+42x^2-15x-18$

a)

$\left(7x^2+3\right)\left(5x-6\right)$

b)

$\left(7x^2-3\right)\left(5x+6\right)$

c)

$\left(7x^2+3\right)\left(5x+6\right)$

d)

$\left(5x-3\right)\left(7x^2+6\right)$

11.

Find the value of c that completes the square.

$y^2+38y+c$

a)

-361

b)

361

c)

19

d)

38

12.

Find the value of c that completes the square.

$y^2+14y+c$

a)

196

b)

-49

c)

225

d)

49

13.

Find the value that completes the square and than rewrite as a perfect square.

$y^2+26y+c$

a)

$169;\left(y+13\right)^2$

b)

$-169;\left(y+13\right)^2$

c)

$169;\left(y-13\right)^2$

d)

$13;\left(y+13\right)^2$

14.

Find the value that completes the square and then rewrite as a perfect square.

$x^2-16x+c$

a)

$-8;\left(x-8\right)^2$

b)

$64;\left(x+8\right)^2$

c)

$8;\left(x+8\right)^2$

d)

$64;\left(x-8\right)^2$

Product/Factoring/Completing the Square/Rewriting the Perfect Sq

Total questions: 14

Worksheet time: 58mins

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