Question

factorize x*x*x-x*x-4x+4​

Answer 1

Answer:

(x+1),(x+2) and (x-2) are factors of given polynomial.

Step-by-step explanation:

Given x³+x²-4x-4

= x²(x+1)-4(x+1)

= (x+1)(x²-4)

= (x+1)(x²-2²)

= (x+1)(x+2)(x-2)

By algebraic identity:

a²-b² = (a+b)(a-b)

Therefore,

(x+1),(x+2) and (x-2) are factors of given polynomial.