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

Question

Mathematics

Abril Long

23 December, 18:55

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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

+4

Answers (1)

Know the Answer?

Darwin Hunt · Answer 1

k = - 11.

Step-by-step explanation:

By the Factor theorem if x + 2 is a factor of this expression then f (-2) = 0, so we have:

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

-8 - 24 + 10 = 2k

k = - 22/2

k = - 11.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.If (x + 2) is a factor of x^3 - 6x^2 + kx + 10, k = [ ].

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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