4x3 + 20x2 +33x +18 given that 2x +3 is a factor then factorize the polynomial - Maths - Polynomials

Question

4x3 + 20x2 +33x +18 given that 2x +3 is a
factor then factorize the polynomial

Ankush Jain · Accepted Answer

$∴ 4 x^{3} + 20 x^{2} + 33 x + 18 = (2 x + 3) (2 x^{2} + 7 x + 6) = (2 x + 3) (2 x^{2} + 4 x + 3 x + 6) = (2 x + 3) [2 x (x + 2) + 3 (x + 2)] = (2 x + 3) (2 x + 3) (x + 2)$