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After simplifying (x^5(x^4-3)-x^9+4x^7-2), what is the degree?

Answer and explanation

Correct answer: 7

First expand: \(x^5(x^4-3)=x^9-3x^5\). Thus, the expression becomes \(x^9-3x^5-x^9+4x^7-2=4x^7-3x^5-2\). The \(x^9\) terms cancel, and the highest remaining power of \(x\) is 7, so the degree is 7. Option 9 is the closest distractor, but its terms disappear after simplification. Exam tip: always simplify the expression completely before finding its degree.

Related tags

PolynomialsDegree Of PolynomialAlgebraic SimplificationLike TermsCancellationDegree Of A PolynomialIntroduction To PolynomialsMathematics

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