Question

Find the value of 'a' if 2x-3 is a factor 2x⁴-x³-3x²-2x+a

Answer 1

Answer:

a=3

Step-by-step explanation:

p(x)=2x^4-x^3-3x^2-2x+a

if 2x-3 is a factor,

2x-3=0

=>2x=3

=>x=3/2

p(3/2)=2*(3/2)^4-(3/2)^3-3*(3/2)^2-2*3/2+a

=2*81/16-27/8-3*9/4-3+a

=81/8-27/8-27/4-3+a

=54/8-27/4-3+a

=27/4-27/4-3+a

=-3+a

=>-3+a=0

=>a=3

Answer 2

Step-by-step explanation:

By long division method

a = 3