78535
AssignmentMultiple Choice

Introduction to Polynomials

Question 78535 • Common Core Algebra I B-IC

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5

Answer
A
–7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6
B
5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6
C
8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3
D
8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

Explanation

Combine like terms: −xy⁵ and −6xy⁵ make −7xy⁵, while −2x²y⁴ and 3x²y⁴ make x²y⁴. The remaining terms are −5x³y³, 8x⁴y², and 8x⁶. In standard form, order the terms by descending powers of x: 8x⁶ + 8x⁴y² − 5x³y³ + x²y⁴ − 7xy⁵, which is choice D.

AI-written and checked against the verified answer.

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