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What is the remainder when the polynomial 5x^2+10x−15 is divided by x + 5?

Sep 25, 2018

#1
+4775
+1

did you try dividing? no.. as you clearly tried nothing

$$5x^2 + 10x - 15 = (x+5) 5x -(15x+15) \\ -(15x+15) = -15(x+5) +60 \\ 5x^2 + 10x - 15 = (15x-15)(x+5) + 60 \\ \text{The remainder is 60}$$

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Sep 25, 2018

#1
+4775
+1
$$5x^2 + 10x - 15 = (x+5) 5x -(15x+15) \\ -(15x+15) = -15(x+5) +60 \\ 5x^2 + 10x - 15 = (15x-15)(x+5) + 60 \\ \text{The remainder is 60}$$