x3 – x2 - 4x + 4 by x + 2,
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Step-by-step explanation:
(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.
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