Answer to Question #188813 in Algebra for Yasmin

Question

f(x)=-2(x-1)^3(x+2)^2

Answer 1

$f(X)=-2(x-1)^3(x+)^2$

$=-2(x^3-1^3-(3\times x\times 1)(x+1)(x^2+4+4x)$

$=-2(x^3-1-3x(x-1)(x^2+4+4x)$

$=[-2x^3+2+6x(x-1)](x2+4+4x)$

$=[-2x^3+2+6x^2-6x](x^2+4+4x)$

$=-2x^5-8x^3-8x^4+2x^2+8+8x+6x^4+24x^2+24x^3-6x^3-24x-24x^2$

$=-2x^5-2x^4+10x^3+2x^2-16x+8$