Free Printable Factorizing monic quadratics

1.

Factorise:

x^2+5x+6

(a)

2.

Factorise:

p^2+12p+20

(a)

3.

Factorise:

b^2-8b+15

(a)

4.

Factorise:

t^2-15t+50

(a)

5.

Factorise:

n^2-n-30

(a)

6.

Factorise:

v^2-7v-60

(a)

7.

Factorise:

x^2+18x+81

(a)

8.

Factorise:

k^2-10k+25

(a)

9.

What is the factorised form of the quadratic expression:

x^2-13x+30

a)

$\left(x+3\right)\left(x+10\right)$

b)

$\left(x-3\right)\left(x+10\right)$

c)

$\left(x-15\right)\left(x-2\right)$

d)

$\left(x-10\right)\left(x-3\right)$

e)

$\left(x+3\right)\left(x-10\right)$

10.

What is the factorised form of the quadratic expression:
$h^2+6h-27$ ?

a)

$\left(h-9\right)\left(h-3\right)$

b)

$\left(h+9\right)\left(h-3\right)$

c)

$h\left(h+6\right)-27$

d)

$\left(h+3\right)\left(h-9\right)$

e)

$h^2+3\left(2h-9\right)$

11.

What is the factorised form of the quadratic expression:

$q^2+14q+49$

a)

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

b)

$q\left(q+14\right)+49$

c)

$\left(q+7\right)^2$

d)

$\left(q+7\right)\left(q+2\right)$

e)

$q^2+7\left(2q+7\right)$

12.

The general quadratic expression:

$ax^2+bx+c$

is a MONIC quadratic when:

a)

$a=1$

b)

$b=1$

c)

$c=1$

d)

$a\ne1$

e)

$b\ne1$

13.

The rectangle shown has an area equal to:

x^2+5x-66

Write down an expression for the LONGER side of the rectangle.

(a)

Factorizing monic quadratics

Total questions: 13

Worksheet time: 17mins

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