If x = -3/2 is a zero of the polynomial p(x) = 2x^3 + 9x^2 - x - a, find the value of a.
Answers
Answered by
4
Answer:
Step-by-step explanation:
P(x) = 2x³+9x²-x-a
x=-3/2
Given that, -3/2 is the factor of p(x)
P(-3/2) =2(-3/2)³ +9(-3/2)² -(-3/2) -a =0
=2*(-27/8) +9(9/4) +(3/2) -a =0
= (-27/4)+(81/4)+(3/2)-a =0
=(-27+81+6+4a)/4 =0
= 60+4a =0
= 4a=-60
= a=-60/4 = -15
Hope this helpful
Similar questions