11
QuizMultiple Choice

Adding and Subtracting Polynomials

Question 11 • FL-1200700-Mathematics for College Algebra MIS

What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Answer
A
–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
B
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
C
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
D
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

Explanation

Subtract the second polynomial by changing the sign of each of its terms: (−2x³y² + 4x²y³ − 3xy⁴) − 6x⁴y + 5x²y³ + y⁵. Combine like terms: 4x²y³ + 5x²y³ = 9x²y³. The result is −6x⁴y − 2x³y² + 9x²y³ − 3xy⁴ + y⁵, which matches choice A.

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