8
QuizMultiple Choice

Introduction to Polynomials — Quiz

Question 8 • Algebra I

Which statement is true about the polynomial 5 s to the 6th power t squared plus 6 st to the 9th power minus 8 s to the 6th power t squared minus 6 t to the 7th power after it has been fully simplified?

Answer
A
It has 3 terms and a degree of 9 .
B
It has 4 terms and a degree of 10 .
C
It has 4 terms and a degree of 9 .
D
It has 3 terms and a degree of 10 .

Explanation

Combine the like terms: 5s⁶t² − 8s⁶t² = −3s⁶t². The simplified polynomial is −3s⁶t² + 6st⁹ − 6t⁷, which has 3 terms. Their degrees are 8, 10, and 7, respectively, so the polynomial’s degree is 10. Therefore, the true statement is that it has 3 terms and a degree of 10.

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