# C1 question

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#1
Find the quotient and remainder obtained in dividing:
(x^3+8x^2+17x+16) by (x+5)

remainder: 6
quotient: x^2+3x+2

Are those right? if not could you explain what a quotient is as I'm not really sure.
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4 years ago
#2
(Original post by DeCosta)
Find the quotient and remainder obtained in dividing:
(x^3+8x^2+17x+16) by (x+5)

remainder: 6
quotient: x^2+3x+2

Are those right? if not could you explain what a quotient is as I'm not really sure.
Yep that's correct.

"If f(x) and d(x) are polynomials, and the degree of d(x) is less than or equal to the degree of f(x), then there exist unique polynomials q(x) and r(x), so that

and so that the degree of r(x) is less than the degree of d(x). In the special case where r(x)=0, we say that d(x) divides evenly into f(x)."

Here q(x) is called the quotient and r(x) is called the remainder.
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