Question

We have A(x) = x^2-6x+4 the question is factorise A(x) +5?

Answer 1

`A(x)=(x-3)*(x-3)`

Explanation:

We have,

`A(x)=x^2-6x+4`

So,

`color(white)(xxx)A(x)+5=(x^2-6x+4)+5`

`rArr A(x)=x^2-6x+9`

`rArr A(x)=(x)^2 - 2 * x * 3 + (3)^2`

`rArr A(x) = (x- 3)^2`

`rArr A(x) = (x - 3) (x - 3)`

Note that

`color(red)[a^2x^2-bx+c^2=(sqrt(a^2x^2)-sqrt(c^2))^2=(ax-c)^2]` [Where `b = 2ac`]