# Trigonometry Homework #1 due 2-9

In 1-6, divide the polynomials.

1. $\frac{9u^4+6u^3+4u+4}{3u^2+2u+2}$

2. $\frac{x^3+a^3+4a^2x+4ax^2}{x+2a}$

3. $\frac{6t^4+ct^3-c^3t+c^4}{2t^2+ct+c^2}$

4. $\frac{x^6+x^5+x^3+x+1}{x^4-x^2+1}$

5. $\frac{x^4+a^4}{x^2+a^2}$

6. $\frac{x^6-a^6}{x^2+ax+a^2}$

7. When $x^3-7x+4$ is divided by the polynomial $D(x)$, the quotient is $x^2-3x+2$ and the remainder is -2. Find $D(x)$.

8. Find $k$ so that when $x^3+kx^2-kx+1$ is divided by $x-2$, the remainder is 0.

9. Find $k$ so that when $x^3+kx^2+k^2x+14$ is divided by $x+2$, the remainder is 0.

10. When $3x^2-5x+c$ is divided by $x+k$, the quotient is $3x+1$ and the remainder is 3. Find $c$ and $k$.