A school is designing a triangular pennant whose area (in square centimetres) is…

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

A school is designing a triangular pennant whose area (in square centimetres) is modelled by the polynomial

5x^{3}+10x^{2}-40x

. (i) Factor out the greatest common factor from

5x^{3}+10x^{2}-40x

. (ii) Factor the resulting quadratic expression completely. (iii) Using the factorised form, verify that

x=2

and

x=-4

make the polynomial equal to zero. (iv) Solve

5x^{3}+10x^{2}-40x=0

for all real values of

x