Question

Show that 1,1/2,and-2 are the zeroes of the polynomial 2xcube+xsquare-5x+2

Answer 1

Hey here is ur answer

p(x) = 2x^3+x^2-5x+2

p(1)=2×1^3+1^2-5×1+2

=2+1-5+2

=5-5

=0

p(1/2)=2×(1;2)^3+1(1/2)^2-5×1/2+2

= 2×1/8+1/4-5/2+2

=1/4+1/4-5/2+2

=1+1-10+8/4

=10-10/2

=0/2

=0

p(-2) = 2×(-2)^3+(-2)^2+-5×-2+2

=2×-8+4+10+2

= -16+16

=0

Hone p(x) = 0 all the time

So 1, 1/2 and -2 are the zeroes of the polynomial