15
QuizMultiple Choice

Introduction to Polynomials

Question 15 • Common Core Algebra I B-IC

Which algebraic expression is a polynomial with a degree of 5?

Answer
A
3x5 + 8x4y2 – 9x3y3 – 6y5
B
2xy4 + 4x2y3 – 6x3y2 – 7x4
C
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
D
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Explanation

For a polynomial with multiple variables, the degree of each term is the sum of its exponents. In choice B, the terms have degrees 1 + 4 = 5, 2 + 3 = 5, 3 + 2 = 5, and 4. The greatest of these is 5, so 2xy⁴ + 4x²y³ − 6x³y² − 7x⁴ is a polynomial of degree 5.

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