Find the value of k if 5 is zero of the polynomial x^3+kx^2+2x+8.
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Answer:
if the question is correct, then the answer would be
k=-143/25 or -5.72
Step-by-step explanation:
let f(x)= x³+kx²+2x+8
if 5 is a zero of f(x)
then f(5)=0
f(5)= (5)³+k(5)²+2(5)+8
125+25k+10+8=0
143+25k=0
25k= -143
k= -143/25 or -5.72
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