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) = 4x4 − 2x3 + 20x2,    D(x) = 2x2 + 9
P(x)
D(x)
 =

We are tasked with dividing \( P(x) \) by \( D(x) \), where:

\[
P(x) = 4x^4 - 2x^3 + 

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) = 4x^4 − 2x^3 + 20x^2, D(x) = 2x^2 + 9

Learn how to divide the polynomial P(x) = 4x^4 - 2x^3 + 20x^2 by D(x) = 2x^2 + 9 using synthetic or long division. This problem demonstrates key algebraic concepts such as polynomial division, quotient, and remainder expressions. Suitable for students in Grades 10-12.

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) = 4x4 − 2x3 + 20x2, D(x) = 2x2 + 9 P(x) D(x)

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