Question

Find the value of k for which the cubic polynomial 3y cube -3/2y cube+ky+5 is exactly divisible by (y-1/2)

Answer 1

Answer:37/4

Step-by-step explanation: in this question we will use factor theorem

As we know if the cubic polynomial lets say p(y) is exactly divisible by (y-1/2)

So p(1/2) should be zero so

P(1/2)=3(1/2)^3+(-3/2)(1/2)+k(1/2)+5=0

=(3/8)-3/4+k/2+5=0

By taking lcm and solving we get

K= 37/4