Dividing Polynomials - Concept

Concept Concept (1)

Long division can be used to divide a polynomial by another polynomial, in this case a binomial of lower degree. When dividing polynomials, we set up the problem the same way as any long division problem, but are careful of terms with zero coefficients. For example, in the polynomial x^3 + 3x + 1, x^2 has a coefficient of zero and needs to be included as x^3+ 0x^2+3x+1in the division problem.

Sample Sample Problems (3)

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Dividing Polynomials - Problem 1

Divide:

2x³ − 13x² + 17x + 12 by x − 4
Problem 1
How to use long division to divide a trinomial by a binomial.
Dividing Polynomials - Problem 2

Divide:

(x³ − 13x − 12) ÷ (x − 4)
Problem 2
How to use long division with a zero as a placeholder.