Question

Find the zeros of the polynomial (x-3)square-(x+3)square

Answer 1

x

3

+2x

2

−x−2=0

⟹x

2

(x+2)−1(x+2)=0

⟹(x

2

−1)(x+2)=0

⟹ x

2

−1=0 or x+2=0

⟹ x

2

=1 or x=−2

x=1, x=−1 and x=−2

Hence, the zeroes of the polynomial x

3

+2x

2

−x−2=0 are 1,−1,−2.