Question

Divide the polynomials. Your answer should be in this form p(x)+k/ x-3 where p is a polynomial and k is an integer. x^2+4/x-3=

Answer 1

Answer:

x + 3 + $\frac{13}{x-3}$

Step-by-step explanation:

Using long division

                  x + 3  ← quotient

        --------------------------

x - 3 | x² + 0x + 4

          x² - 3x    ↓

        ------------------------

                3x + 4

                 3x - 9

        -----------------------

                        13 ← remainder

Thus

$\frac{x^2+4}{x-3}$ = x + 3 + $\frac{13}{x-3}$