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Xelga [282]
3 years ago
5

If (x+2) is a factor of x^3-6x^2+kx+10, k=

Mathematics
1 answer:
Alja [10]3 years ago
3 0
If a binomial (x-a) is a factor of a polynomial, then a is a root of this polynomial.

(x+2)=(x-(-2)) \Rightarrow a=-2\\\\
(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\
-8-24-2k+10=0\\
-2k=22\\\
\boxed{k=-11}


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