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Dividing Polynomials

1) Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).
P(x) = 3x^2 + 4x â?' 1, D(x) = x + 5
P(x) =(x+5)(_____)+______

2) Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).
P(x) = x^3 + 9x^2 â?' 4x + 4, D(x) = x â?' 3
P(x)=(x-3)(____)+____

3) Find the quotient and remainder using long division.
3x^4 â?' 5x^3 â?' 19x â?' 6/x^2 + x + 3

4) Find the quotient and remainder using long division.
9x^2 â?' x + 4/3x^2 â?' 9x

5)Find the quotient and remainder using synthetic division.
x^5+4x^3-12/x-1

6)Find the quotient and remainder using synthetic division.
x^4 â?' x^3 + x^2 â?' x + 2/x-3

7)Find the quotient and remainder using synthetic division.
x^3 + 5x^2 + 7x + 2/x+5

8) Find the quotient and remainder using long division.
x^6 â?' 5x^4 + 4x^2 â?' 20/x^2 â?' 5

Solution Summary

Polynomial division is depicted.

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