Question

Verify that whether -1 is zeroes of the polynomial p(x) = 2x^3 - 9x^2 + x + 12 and find the value of p(0), p(1) and p(2)​

Answer 1

P(-1)=2(-1)^3-9(-1)^2+(-1)+12

=2(-1)-9-1+12

=-2-9-1+12

=-12+12

=0

Yeah -1 is zero of above equation

P(0)=2(0)^3-9(0)^2+(0)+12=0-0+0+12=12

P(1)=2(1)^3-9(1)^2+1+12=2-9+1+12=6

P(2)=2(2)^3-9(2)^2+2+12=16-36+2+12=-20+14=-6