Free Printable CA2 Factoring Test

1.

1.6.1

Factor: $x^3+x^2+2x+2$

a)

(x + 2)(x^2 - 1)

b)

(x + 2)(x^2 + 1)

c)

(x - 1)(x^2 + 3)

d)

(x + 1)(x^2 - 2)

e)

(x + 1)(x^2 + 2)

2.

1.6.2

Factor: $n^3+5n^2+5n+25$

a)

(n + 1)(n^2 + 25)

b)

(n + 2)(n^2 + 12)

c)

(n + 5)(n^2 + 1)

d)

(n + 5)(n^2 + 5)

e)

(n + 10)(n^2 - 5)

3.

1.6.3

Factor: $a^3-4a^2-11a+44$

a)

(a + 4)(a^2 - 11)

b)

(a - 4)(a^2 + 11)

c)

(a - 4)(a^2 - 11)

d)

(a - 2)(a^2 + 22)

e)

(a + 4)(a^2 + 11)

4.

1.6.4

Factor: $-x^3+2x^2-121x+242$

a)

(x - 2)(x^2 - 121)

b)

(x + 1)(-x^2 + 121)

c)

(x - 2)(-x^2 + 121)

d)

(x - 2)(-x^2 - 121)

e)

(x - 11)(-x^2 + 22)

5.

1.6.5

Factor: $-4+q^3+4q-q^2$

a)

(q - 1)(q^2 - 4)

b)

(q + 1)(q^2 - 4)

c)

(q - 1)(q^2 + 4)

d)

(q - 2)(q^2 + 2)

e)

(q + 2)(q^2 - 2)

6.

1.6.6

Factor: $3v^2+v^3+36+12v$

a)

(v + 6)(v^2 + 6)

b)

(v + 4)(v^2 + 9)

c)

(v + 1)(v^2 + 36)

d)

(v + 2)(v^2 + 18)

e)

(v + 3)(v^2 + 12)

7.

1.6.7

Factor: $2ar^2-14r^2+4ar-28r$

a)

(r - 2)(2r(a + 7))

b)

(r - 7)(2r(a + 2))

c)

(r + 4)(2r(a - 3))

d)

(r + 1)(2r(a - 5))

e)

(r + 2)(2r(a - 7))

8.

1.6.8

Factor: $-32b^3c+24b^2c+12bc-9c$

a)

$c\left(-8b+3\right)\left(4b-3\right)$

b)

$c\left(-8b^2+3\right)\left(4b+3\right)$

c)

$c\left(-8b^2+3\right)\left(4b-3\right)$

d)

$-c\left(-8b^2+3\right)\left(4b-3\right)$

e)

$c\left(8b^2+3\right)\left(4b-3\right)$

9.

1.6.9

Factor: $15a^2c-4ac-8ab+30a^2b$

a)

$a\left(2b+c\right)\left(15a-4\right)$

b)

$a\left(2b-c\right)\left(15a-4\right)$

c)

$-a\left(2b+c\right)\left(15a-4\right)$

d)

$a\left(2b+c\right)\left(15a+4\right)$

e)

$a^2\left(2b+c\right)\left(15a-4\right)$

10.

1.6.10

Factor: $56y+42x^2y+32xy+24x^3y$

a)

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

b)

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

c)

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

d)

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

e)

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

11.

1.5.E1

Factor

$3x^2-13xy+4y^2$

a)

(3x - y)(x - 4y)

b)

(3x + 4y)(x - y)

c)

(3x - 2y)(x - 2y)

d)

(3x - 4y)(x + y)

e)

(3x + y)(x + 4y)

12.

1.5.E2

Factor

$-4m^2+11mn+3n^2$

a)

(m + 3n)(-4m + n)

b)

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

c)

(m - 3n)(4m + n)

d)

(m - n)(-4m + 3n)

e)

(m + n)(-4m - 3n)

13.

1.5.E3

Factor

$80p^2+42pq-5q^2$

a)

(2p + 5q)(40p - q)

b)

(5p - q)(16p + 4q)

c)

(10p - q)(8p + 5q)

d)

(8p - 5q)(10p + q)

e)

(4p + q)(20p - 2q)

14.

1.5.E4

Factor

$2r^2-11rs+5s^2$

a)

(r - 2s)(r - 5s)

b)

(2r + s)(r + 5s)

c)

(r - s)(2r + 5s)

d)

(r - 5s)(2r - s)

e)

(r + 5s)(2r + s)

15.

1.5.E5

Factor

$14d^2-7dw-147w^2$

a)

14(d + 3w)(d - 7w)

b)

7(2d - 3w)(d + 7w)

c)

7(2d - 7w)(d + 3w)

d)

7(2d + 7w)(d - 3w)

e)

14(d - 3w)(d + 7w)

16.

1.4.46

Factor $x^5+3125$

a)

(x - 5)(x^4 + 5x^3 + 25x^2 + 125x + 625)

b)

(x + 1)(x^4 + 1x^3 + 1x^2 + 1x + 1)

c)

(x + 5)(x^4 - 5x^3 + 25x^2 - 125x + 625)

d)

(x + 10)(x^4 - 10x^3 + 100x^2 - 1000x + 10000)

e)

(x - 5)(x^4 + 5x^3 + 25x^2 + 125x - 625)

17.

1.4.47

Factor $x^5+y^5$

a)

(x - y)(x^4 + x^3y + x^2y^2 + xy^3 + y^4)

b)

(x + y)(x^4 + x^3y + x^2y^2 + xy^3 + y^4)

c)

(x + y)(x^4 + x^3y - x^2y^2 - xy^3 + y^4)

d)

(x + y)(x^4 - x^3y + x^2y^2 - xy^3 + y^4)

e)

(x + y)(x^4 - x^3y + x^2y^2 + xy^3 + y^4)

18.

1.4.48

Factor $a^7+y^7$

a)

(a - y)(a^6 + a^5y + a^4y^2 + a^3y^3 + a^2y^4 + ay^5 + y^6)

b)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 - ay^5 + y^6)

c)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 + ay^5 + y^6)

d)

(a + y)(a^6 + a^5y + a^4y^2 + a^3y^3 + a^2y^4 + ay^5 + y^6)

e)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 - ay^5 + y^5)

19.

Identify the perfect square trinomial.

a)

$x^2-24xy+144y^2$

b)

$x^2-12xy+144y^2$

c)

$x^2-6xy+144y^2$

d)

$x^2-36xy+144y^2$

20.

1.3

What scripture is this catechism based on?

a)

Romans 14:7–8

b)

John 14:7–8

c)

Matthew 14:7–8

d)

Mark 14:7–8

e)

CA2 Factoring Test

Total questions: 20

Worksheet time: 2hrs 37mins

Romans 14:7–8

John 14:7–8

Matthew 14:7–8

Mark 14:7–8

Luke 14:7–8

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