Skip over navigation

Algebra II: Polynomials

Problems

Long Division of a Polynomial by a Binomial

Synthetic Division

Problem : What is 4x 4 -11x 3 -7x 2 + 11x + 3 divided by x - 3 ?

4x 3 + x 2 - 4x - 1 .

Problem : What is 12x 4 +2x 3 -10x 2 + 5x + 5 divided by 2x - 1 ?

6x 3 +4x 2 - 3x + 1 , remainder 6.

Problem : What is -12x 5 + x 4 +26x 3 -55x 2 + 38x - 6 divided by -4x + 3 ?

3x 4 +2x 3 -5x 2 + 10x - 2 .

Problem : What is 2x 5 + x 4 -6x 3 + x 2 + x - 4 divided by x + 2 ?

2x 4 -3x 3 + x - 1 , remainder -2.

Problem : What is x 5 -2x 4 +5x 3 -9x 2 + 4x - 7 divided by x 2 + 1 ?

x 3 -2x 2 + 4x - 7 .

Problem : What is the remainder when 2x 5 -6x 4 -18x 3 - 2x + 5 is divided by x - 5 ?

P(5) = 245 .

Problem : Is each of the following a factor of x 4 -3x 3 -7x 2 + 27x - 18 ? a) x - 1
b) x
c) x + 2
d) x + 3
e) x - 4

a) Yes.
b) No.
c) No.
d) Yes.
e) No.

Follow Us