Question

I need Algebra Help Please

Answer 1

Answer:

$x^2-2x+4-\dfrac{15}{x+2}$

Step-by-step explanation:

Synthetic division is a useful tool for problems of this sort. (see below)

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Another way to work this one is to make use of the remainder theorem. The remainder from division by x+2 will be the value of the function at x=-2 (the value of x that makes the divisor be zero).

  (-2)³ -7 = -8 -7 = -15

Only one answer choice shows a remainder of -15, and all agree on the quotient.

  $x^2-2x+4-\dfrac{15}{x+2}$