Question

Find the value of p for which the polynomial x^3+ 4x^2- px + 8 is exactly divisible by 3x^2-2x+4​

Answer 1

P( x) = x^3  + 4x^2 -px +8 is diVisiBLE exactly by (x - 2)

x= 2 is a zero of P(x).

Hence P(2)=0

2^3 + 4 * 2^2 - p * 2 + 8 = 0

8 + 16 - 2p +8 = 0

2p = 32

p = 16

PLS MARK BRAINLIEST