Question

Verify weather 2,3, and 1/2 the zeroes of the polynomial 2x-11x+17x-6

Answer 1

I think your problem is little bit wrong. The problem should be like this.

P(x)=2x³-11x²+17x-6

Put x=2,

p(2)=2(2)³-11(2)²+17(2)-6

=2(8)-11(4)+34-6

=16-44+28

=44-44=0

Put x=3,

p(3)=2(3)³-11(3)²+17(3)-6

=2(27)-11(9)+51-6

=54-99+51-6

=99-99=0

Put x=1/2,

p(1/2)=2(1/2)³-11(1/2)²+17(1/2)-6

=2(1/8)-11(1/4)+17/2-6

=2/8-11/4+17/2-6

=1/4-11/4+17/2-6

=(1-11)/4+17/2-6

=-10/4+17/2-6

=(-10+34-24)/4

=(34-34)/4

=0/4

=0

Therefore,2,3 and 1/2 are the zeroes of the given polynomial.

Hence verified