find k if (x-2) is a factor of 4x^4+2x^3-3x^2+8x+5k
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Step-by-step explanation:
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Answer:
k=-68/13
Step-by-step explanation:
p(x)=4x⁴+2x³-3x²+8k+5k
p(x)=4x⁴+2x³-3x³+13k
(x-2) is a factor , it means
x-2=0
x=2
Put the value of x in p(x)
p(2)=4×2⁴+2×2³-3×2²+13k=0
p(2)=64+16-12+13k=0
p(2)=68+13k=0
13k=-68
k=-68/13
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