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After simplifying (3x^5+2x^5-4x^2+8), what is the degree?

Answer and explanation

Correct answer: 5

Combining like terms gives 3x^5+2x^5=5x^5, so the polynomial becomes 5x^5-4x^2+8. The highest power of x is 5; therefore, its degree is 5. The number 8 is a constant term, so it does not make the degree 8. Exam tip: simplify a polynomial first, then identify the greatest exponent of the variable with a non-zero coefficient.

Related tags

PolynomialsDegree Of PolynomialLike TermsAlgebraClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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