Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + 4, and write the quotient polynomial and the remainder. [Be careful – notice that there is no x^2 term.] Please Show work.

Answer 1

-4 │ 2 0 -12 -5
.......-8 32 -80
2 -8 20 -85

so (2x^3 – 12x – 5) ÷ (x + 4)
= 2x^2 - 8x + 20 - 85/(x+4)