Question

Find the value of 'k' for which (x-1) is a factor
of 2x³+ 9x²+x+k
​

Answer 1

The factor becomes 0 when x is 1, with the polynomial.

So when x=1

2+9+1+k=0

Therefore

k=-12

Answer 2

Step-by-step explanation:

if x-1 is a factor then remainder must be 0

2(1)^3+9(1)^2+1+k=0

2+9+1+k=0

12+k=0

k=-12

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