find k , if (x-1) is a factor of 2x3 (x to the power 3) + 9x +x +k
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Given polynomial,
2x³+9x+x+k
=2x³+10x+k
x-1 is a factor of the given polynomial.
x-1=0
x=1
Put x=1 in given polynomial,
2x³+10x+k=0
2(1)³+10(1)+k=0
2(1)+10+k=0
2+10+k=0
k+12=0
k=-12
Therefore,k= -12
2x³+9x+x+k
=2x³+10x+k
x-1 is a factor of the given polynomial.
x-1=0
x=1
Put x=1 in given polynomial,
2x³+10x+k=0
2(1)³+10(1)+k=0
2(1)+10+k=0
2+10+k=0
k+12=0
k=-12
Therefore,k= -12
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