Question

Verify that (– 2) is a zero of the polynomial P(x) = 2x^3+ x^2 – 5x + 2 .

Answer 1

Step-by-step explanation:

p(x)=2x

2

−5x−3

To find zero of polynomial p(x)=0

p(x)=2x

2

−5x−3

p(x)=0

⇒2x

2

−5x−3=0

⇒2x

2

−6x+x−3=0

⇒2x(x−3)+1(x−3)=0

⇒(2x+1)(x−3)=0

x=

2

−1

,3