Factorise the following

x^2+10x+16

x^2+7x+12

x^2+13x+12

(x+2)(x+8)

(x+3)(x+4)

(x+1)(x+12)

Step-by-step explanation:

Let's factor x2+10x+16

x2+10x+16

The middle number is 10 and the last number is 16.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 10

Multiply together to get 16

Can you think of the two numbers?

Try 2 and 8:

2+8 = 10

2*8 = 16

Fill in the blanks in

(x+_)(x+_)

with 2 and 8 to get...

(x+2)(x+8)

Let's factor x2+7x+12

x2+7x+12

The middle number is 7 and the last number is 12.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 7

Multiply together to get 12

Can you think of the two numbers?

Try 3 and 4:

3+4 = 7

3*4 = 12

Fill in the blanks in

(x+_)(x+_)

with 3 and 4 to get...

(x+3)(x+4)

Let's factor x2+13x+12

x2+13x+12

The middle number is 13 and the last number is 12.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 13

Multiply together to get 12

Can you think of the two numbers?

Try 1 and 12:

1+12 = 13

1*12 = 12

Fill in the blanks in

(x+_)(x+_)

with 1 and 12 to get...

(x+1)(x+12)

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