Consider the polynomial function p(x) = -2x4 – x³ – 3x2 + 5x + 2. Use polynomial long division to perform the indicated division and rewrite the polynomial in the form p(x) = d(x)q(x) +r(x), where d is the divisor, q is the quotient, and r is the remainder. (-2a4 – a3 – 3a² + 5æ + 2) ÷ (x² + 4) p(x) = (-2x^2)(-x+5)+(9x-18) Preview

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 38E
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Consider the polynomial function p(x) = -2x4 – a³ – 3x? + 5x + 2.
Use polynomial long division to perform the indicated division and rewrite the polynomial in the form
p(x) = d(x)q(x) + r(x), where d is the divisor, q is the quotient, and r is the remainder.
(-2x4 – a3 – 3a² + 5x + 2) ÷ (x² + 4)
p(x) = |(-2x^2)(-x+5)+(9x-18)
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Transcribed Image Text:Consider the polynomial function p(x) = -2x4 – a³ – 3x? + 5x + 2. Use polynomial long division to perform the indicated division and rewrite the polynomial in the form p(x) = d(x)q(x) + r(x), where d is the divisor, q is the quotient, and r is the remainder. (-2x4 – a3 – 3a² + 5x + 2) ÷ (x² + 4) p(x) = |(-2x^2)(-x+5)+(9x-18) Preview
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