Question

X^3+3x^2+kx-10 and x-1 is a factor what is k

Answer 1

6

Explanation:

Using the factor theorem, the expression evaluated at
`x=1` will equal
`0`.

`1^3+3(1^2)+k(1)-10=0 \\ \\ 1+3+k-10=0 \\ \\ k=6`