Question

Kayla was asked to rewrite the polynomial expression, x^2-4x+4, how could she rewrite the polynomial

Answer 1

`x^2-4x+4=\\\\=x-2x-2x+4=\\\\=x(x-2)-2(x-2)=\\\\=(x-2)(x-2)=\\\\=(x-2)^2`

Answer 2

`(x-2)(x-2)`

Explanation:

We have been given a polynomial expression
`x^2-4x+4` and we are asked to rewrite our given expression.

We will use factorization to rewrite our given expression by splitting the middle term into two numbers such that they add up-to -4 and their product must be 4.

Since -2 and -2 add up-to -4 and their product is 4, so we can factor our polynomial as:

`x^2-2x-2x+4`

`x(x-2)-2(x-2)`

`(x-2)(x-2)`

Therefore, we can rewrite our given polynomial expression as
`(x-2)(x-2)`.