Question

factorise x^3+x^2-4x-4 using factor theorum

Answer 1

Answer:

x = -1 and 4 are the factor of the polynomial $x^3+x^2-4x-4$.

Step-by-step explanation:

x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0, where a is any real number.

$x^3+x^2-4x-4 = 0 \\ x ( x + 1) - 4 ( x + 1) = 0\\(x+ 1) (x - 4) = 0\\(x + 1) = 0 and x - 4 = 0\\x = -1 and x = 4$

So,  x = -1 and 4 are the factor of the polynomial $x^3+x^2-4x-4$.