9514 1404 393
Answer:
-2
Step-by-step explanation:
The first two terms have a common factor of x. Taking that out gives ...
(x² +5x -2) ÷ (x +5)
= (x(x +5) -2) ÷ (x +5)
= x -2/(x +5)
The remainder is -2.
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The remainder can also be found by evaluating (x² +5x -2) for x = -5:
(-5)² +5(-5) -2 = 25 -25 -2 = -2
The remainder is -2.
