Question

Factor x2 – 7x + 10, 4x2 – 81 and p (x) = 3x3 – 12x

Answer 1

$x^2-7x+10=x^2-5x-2x+10=x(x-5)-2(x-5)\\\\=\boxed{(x-5)(x-2)}\\--------------------------------\\Use\ a^2-b^2=(a-b)(a+b)\\\\4x^2-81=(2x)^2-9^2=\boxed{(2x-9)(2x+9)}\\\\p(x)=3x^3-12x=3x(x^2-4)=3x(x^2-2^2)=\boxed{3x(x-2)(x+2)}$