Question

if -3/2 is a zero of p(x)= 2x^3+ax^2-x-a
what is a

Answer 1

Step-by-step explanation:

If 1 is the zero of the polynomial f(x)=a

2

x

2

−3ax+3x−1

Then, f(x)=0

=>a

2

(1)

2

−3a(1)+3(1)−1=0

=>a

2

−3a+3−1=0

=>a

2

−3a+2=0

=>a

2

−2a−a+2=0

=>a(a−2)−1(a−2)=0

=>(a−2)(a−1)=0

a=2

Hence, option B is correct.