Question

If x – 2 is a factor of the polynomial p(x) = x³ - 5x² + kx + 4, then find the value of k.​

Answer 1

Answer:

k=4

Step-by-step explanation:

if (x-2) is factor of polynomial, then

x-2=0 => x = 2

therefore for x=2 p(2) should be zero

p(x) = x³-5x²+Kx+4

p(2) = (2)³ - 5(2²) + 2k +4

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

=> 0 = 8-20+4+2k

=> 2k = 8

=> k = 4