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If f(x) = x^3+ 5, then what is the remainder when f(x) is divided by x + 3?

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sqdancefan

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Answer:

  -22

Step-by-step explanation:

The remainder theorem tells you the remainder will be f(-3), where -3 is the value of x that makes the binomial factor equal to zero.

  f(-3) = (-3)^3 +5 = -27 +5 = -22

The remainder when f(x) is divided by x+3 is -22.

_____

The attachment shows long division, with a remainder of -22.

View image sqdancefan
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