Question

Which of the complete factorization of the polynomial below x^3+4^2-x-4

Answer 1

(x +4)(x -1)(x +1)

Explanation:

The sum of coefficients is zero, so we know that x=1 is a root and x-1 is a factor. We also notice that pairs of terms have coefficients in the ratio 1:4, so x+4 will also be a factor.

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

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

= (x +4)(x -1)(x +1) . . . . . use the factoring of the difference of squares