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nataly862011 [7]
3 years ago
7

Divide. (x^2+8x+12)/(x+5)

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

x^2+8x+12=(x+5)(x+3)-3.

The quotient is x+3 and the remainder is -3.

Step-by-step explanation:

Dividing x^2+8x+12 by x+5, multiply x+5 by x:

(x+5)x=x^2+5x and subtract it from x^2+8x+12:

x^2+8x+12-(x^2+5x)=x^2+8x+12-x^2-5x=3x+12.

Now multiply x+5 by 3:

(x+5)\cdot 3=3x+15

and subtract it from 3x+12:

3x+12-(3x+15)=3x+12-3x-15=-3.

Thus,

x^2+8x+12=(x+5)(x+3)-3.

The quotient is x+3 and the remainder is -3.

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