Question

Determine whether

−3/2 is a zero (root) of the function:
f(x) = 2x^3 + 3x^2 − 8x − 12

Select the appropriate response:

Yes
No

Answer 1

Yes

Explanation:

If the reminder is 0, -3/2 is a root

2(-3/2)³ + 3(-3/2)² − 8(-3/2) − 12

= 0

Therefore -3/2 is a root

Answer 2

yes

Explanation:

plug -3/2 into f(x)=
`2x^3 + 3x^2 - 8x - 12`

f(-3/2) = 2(-3/2)³+3(-3/2)²-8(-3/2)-12 = 0

-3/2 is a zero of the function