Question

Divide quadratics by linear expressions (with remainders)

Divide the polynomials.
Your answer should be in the form p(x) +
where p is a polynomial and k is an integer.
3
37
22 + 4
3
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Answer 1

x + 3 +
`(13)/(x-3)`

Explanation:

Divide using Synthetic division

dividing by ( x - 3)

Using 0 to represent the x- term

3 | 1 0 4

↓ 3 9

+ +

------------------

1 3 13 ← remainder

Thus

`(x^2+4)/(x-3)` = x + 3 +
`(13)/(x-3)`