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In (8x^5-3x^2+1), which term has the highest power?

Answer and explanation

Correct answer: \(8x^5\)

The terms of the polynomial are \(8x^5\), \(-3x^2\), and \(1\). Their powers of \(x\) are 5, 2, and 0 respectively. Since 5 is the greatest power, \(8x^5\) is the correct term. The term \(-3x^2\) has power 2 only, and 8 is just a coefficient, not a term. Exam tip: compare the exponent of the variable in each term to identify the highest power.

Related tags

PolynomialsDegree Of PolynomialHighest PowerLeading TermClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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