Posted by **Breanna** on Wednesday, July 22, 2009 at 1:19am.

Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + 4,

Write the quotient polynomial and the remainder. [Be careful – notice that there is no x2 term.]. Show work.

- Algebra -
**MathMate**, Wednesday, July 22, 2009 at 8:39am
Synthetic division is the same as long polynomial division, except that we write down only the coefficients, and not the complete terms. For this to be valid, any missing term must be compensated by a 0 (read the note [Be careful...]).

Synthetic division is very similar to numeric long division that we are used to, except each digit is replaced by a number, positive or negative. The layout is almost the same.

You can read up

http://en.wikipedia.org/wiki/Polynomial_long_division

for an example.

The work is not difficult, but difficult to do a nice layout by posting.

Try it out and see if you have difficulties.

- Algebra -
**MathMate**, Wednesday, July 22, 2009 at 8:47am
The quotient is 2x³-8x+20 with a remainder of -85.

- Algebra -
**MathMate**, Wednesday, July 22, 2009 at 8:48am
erratum:

The quotient is 2x²-8x+20 with a remainder of -85.

## Answer This Question

## Related Questions

- Algebra - Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + ...
- algebra - Use synthetic division to divide the polynomial 2x3 – 45x + 28 by x + ...
- algebra - Use synthetic division to divide the polynomial 2x3 – 45x + 28 by x + ...
- Algebra - please help me with this question and check my answers. Solve the ...
- Algebra - Factor find the zeros x^5-9x^3 Find the quotient and remainder using ...
- Algebra 2 help please :) - What is a cubic polynomial function in standard form ...
- algebra 2 - SImplify the expressions. 1. x to the seventh times 1/x squared 2. (...
- math - Use polynomial long division to find the quotient and the remainder when ...
- Algebra - (4x^3-9x+8x^2-18)/(x+2)-use synthetic division to divide. I set it up ...
- pre cal - Use synthetic division to show that x is a solution of the third-...

More Related Questions