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