Question

Factor the trinomial 16x2−56x+49 16x2−56x+49=(Ax−B)2 where A is and B is .

Answer 1

Given

`16x^2-56x+49`

We rewrite in the form: a² + 2ab + b²

This is:

`\begin{gathered} 16x^2=(4x)^2 \\ 49=7^2 \\ -56x=-2(4x)(7) \end{gathered}`

Substituting we get:

`(4x)^2-2(4x)(7)+7^2`

Apply the square binomial formula:

`(4x-7)^2`

Answer:

A is 4

B is 7