For which value k is the polynomial
P(x) =
2x³ - Kx²+3x +10 exactly
divisible by(x+2)?
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Answer:
2x³-kx²+3x+10
X+2
X+2=0
X= -2
now put the value of X in the polynomial
2(-2)³-k(-2)²+3(-2)+10=0
2(-8)-k(4)-6+10=0
-16-4k+4=10
-12-4k=0
-4k=12
k=-3
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