Question

Verify that -2,-2/3,2 are the zeroes of the polynomial p(x) =3x^3+2x^2-12-8, and then verify the relationship between the zeroes and the coefficients.​

Answer 1

Step-by-step explanation:

3x³+2x²-12x-8

p(x)=-2

3(-2)³+2(-2)²-12(-2)-8

3(-8)+2(4)+24-8

-24+8+24-8

0

p(x)=-2/3

3(-2/3)³+2(-2/3)²-12(-2/3)-8

3(-8/27)+2(4/9)+24/3-8

-24/27+8/9+8-8

-8/9+8/9+0

0

p(x)=2

3(2)³+2(2)²-12(2)-8

3(8)+2(4)-24-8

24+8-24-8

0

hope this helps you