Question

12. Verify whether 1/2 and -1 are zeroes of the given polynomial or not.p(x) = 2x^2+ x-1​

Answer 1

Answer:

if 1/2 and -1 zeros of polynomial P (X),

p(1/2)=0and p(-1)=0

Now,p(x)=2x²+x-1

p(1/2)=2(1/2)²+1/2-1

=2×1/4+1/2-1

=1/2+1/2-1

=1-1

=0

p(-1)=2(-1)²+(-1)-1

=2×1+(-2)

=2+(-2)

=0

since p(1/2) and p(-1) are equal to zero

so, 1/2 and -1 zeros of polynomial P(X)