Question

Factorize each of the following polynomials:

(i) x³ + 13x² + 31x − 45 given that x + 9 is a factor

(ii) 4x³ + 20x² + 33x + 18 given that 2x + 3 is a factor.

Answer 1

(i) Let be the given polynomial.

is a factor of the polynomial f(x).

Now,

Hence are the factors of polynomial f(x).

(ii) Let be the given polynomial.

Therefore is a factor of the polynomial f(x).

Now,

Hence are the factors of polynomial f(x).