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butalik [34]
3 years ago
11

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

Mathematics
2 answers:
kherson [118]3 years ago
4 0

Answer:

k = -11

Step-by-step explanation:

Let p(x) = x^3-6x^2+kx+10

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = (-2)^3-6(-2)^2+k(-2)+10

<u><em>By remainder theorem, Remainder will be zero</em></u>

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

Tatiana [17]3 years ago
3 0
K=-11 for the answer
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