5.4E: Dividing Polynomials (Exercises)
For the following exercises, use long division to find the quotient and remainder.
19. \(\frac{x^{3}-2 x^{2}+4 x+4}{x-2}\)
20. \(\frac{3 x^{4}-4 x^{2}+4 x+8}{x+1}\)
For the following exercises, use synthetic division to find the quotient. If the divisor is a factor, then write the factored form.
21. \(\frac{x^{3}-2 x^{2}+5 x-1}{x+3}\)
22. \(\frac{x^{3}+4 x+10}{x-3}\)
23. \(\frac{2 x^{3}+6 x^{2}-11 x-12}{x+4}\)
24. \(\frac{3 x^{4}+3 x^{3}+2 x+2}{x+1}\)