Math Problem Statement

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x) D(x) = Q(x) + R(x) D(x) . P(x) = x5 + x4 − 7x3 + 6x + 6, D(x) = x2 + x −

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial Division
Synthetic Division
Long Division of Polynomials

Formulas

P(x) = D(x) * Q(x) + R(x)
Synthetic Division Method
Long Division Method for Polynomials

Theorems

Division Algorithm for Polynomials

Suitable Grade Level

Grades 9-12