Question

If (2x−1) is a factor of 4x3+7x2+k then the value of k is

Answer 1

Answer:

k=-9/4

Step-by-step explanation:

LET 4x³+7x²+k BE p(x)                   g(x)=2x-1 is  factor of p(x)

p(x)=4x³+7x²+k              g(x)=2x-1   =>x=1/2

p(1/2)= 4(1/2)³+7(1/2)²+k = 0

=>4(1/8)+7(1/4)+k = 0

=>(1/2)+7/4+k = 0

=>LCM OF 2 AND 4=4

=>1/2×2/2=2/4             7/4×1/1=7/4

=>2/4+7/4+k=0

=>9/4+k=0

=>k=-9/4

HOPE THE ANSWER IS CORRECT.