SOLUTION: Write f(x) = x^3 + 7x^2 + 13x + 22 in the form f(x) = (x

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Question 1120027: Write f(x) = x^3 + 7x^2 + 13x + 22 in the form f(x) = (x - k)q(x) + r when k = -5.

Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Use polynomial long division to find the quotient function when the given function is divided by . Then write times the quotient function and add to that a fraction consisting of the remainder that resulted from the division divided by

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Use synthetic division to make the work easier than polynomial long division.
-5 | 1 7 13 22 | -5 -10 -15 --------------- 1 2 3 7

The quotient is x^2+2x+3 and the remainder is 7. So

x^3+7x^2+13x+22 = (x+5)(x^2+2x+3) + 7

SOLUTION: Write f(x) = x^3 + 7x^2 + 13x + 22 in the form f(x) = (x - k)q(x) + r when k = -5.