Question

If 3x – 4 is a factor of the polynomial p(x) = 2x³ – 11x + kx – 20,
find the value k​

Answer 1

Answer:

64/3

Step-by-step explanation: 3x-4=0. X=4/3

P(4/3)=0=2×{4/3)^3-11×4/3-20+4K/3

K=64/3

Answer 2

Answer:

3x-4 =0

So, x=4/3

Now put x = 4/3 in p(x)

p(x) = 2(4/3)^3-11(4/3)+k(4/3)-20=0

0=(128/27)-(44/3)+(4k/3)-20

Further Solve on your own.