5
QuizMultiple Choice

Introduction to Polynomials — Quiz

Question 5 • Algebra I

Which statement is true about the polynomial negative 3 x to the 4th power y cubed plus 8 x y to the 5th power minus 3 plus 18 x cubed y to the 4th power minus 3 x y to the 5th power after it has been fully simplified?

Answer
A
It has 3 terms and a degree of 7 .
B
It has 3 terms and a degree of 5 .
C
It has 4 terms and a degree of 7 .
D
It has 4 terms and a degree of 5 .

Explanation

Combine the like terms: 8xy⁵ − 3xy⁵ = 5xy⁵. The simplified polynomial is −3x⁴y³ + 5xy⁵ − 3 + 18x³y⁴, which has 4 terms. The highest total degree is 7, from x⁴y³ and x³y⁴, so the true statement is that it has 4 terms and a degree of 7.

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