Question

Find factor of polynomial p(x)=x³-2x²-x+2​

Answer 1

Step-by-step explanation:

The polynomial x3 +2x 2

−x−2=0 can be factorised as follows:

x3 +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

⟹ x2 =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.