Question

Find the value of k, if 2x - 3 is a factor of 2x® - 9x“ + x + k.​

Answer 1

Answer:

Step-by-step explanation:

p(x)=2x-3

p(x)=0

2x-3=0

2x=3

x=3/2

f(x)=2x³-9x²+x+k

f(3/2)=2(3/2)³-9(3/2)²+3/2+k

f(3/2)=-48+k/4

hence f(x)=0 then

-48+k/4=0

-48+k=0

k=48 ANSWER