Question

How do you write `q^2 – 12q + 36` in factored form?

Answer 1

`q^2-12q+36=(q-6)^2`

Explanation:

So, to factorise this quadratic expression we need to find numbers that add together to make -12 and multiply together to make +36. The only two numbers that do this are -6 and -6.

Or,

`q^2-12q+36=(q-6)(q-6)=(q-6)^2`

Answer 2

`(q-6)^2`

Explanation:

It is a perfect square -
`q^2 -6q-6q+36`
`q(q -6)-6(q-6)`
`(q -6)(q-6)`
`(q-6)^2`

Answer 3

`(q-6)^2`

Explanation:

Actually, if you look at it closely, you'll realize that `q^2-12q+36` is a perfect square trinomial. You can write it down as `(q-6)(q-6)` or simply `(q-6)^2`.