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

1 Answer
May 23, 2018

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]