Question

(x⁴-5x³+5x²+5x-6)÷x-3​

Answer 1

Step-by-step explanation:

Consider x4+5x3+5x2−5x−6

Let us rewrite as

x4−x3+6x3−6x2+11x2−11x+6x−6

x3(x−1)+6x2(x−1)+11x(x−1)+6(x−1)

(x−1)(x3+6x2+11x+6)

(x+1)(x3+2x2+4x2+8x+3x+6)

(x−1)(x2(x+2)+4x(x+2)+3(x+2))

(x−1)(x+2)(x2+4x+3)

(x−1)(x+2)(x+1)(x+3)

(X2−1)(x+2)(x+3)