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Zarrin [17]
3 years ago
14

If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =

Mathematics
2 answers:
BartSMP [9]3 years ago
8 0
If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

p(-2)=0 \\
(-2)^3 - 6 \times (-2)^2 + k \times (-2) + 10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
k=\frac{22}{-2} \\
\boxed{k=-11}
Gwar [14]3 years ago
4 0

Answer:

-11

Step-by-step explanation:

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