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If (F(x)=6x^{12}-6x^{12}+7x^8-7x^8+9x^5-4), what is the degree of (F(x))?

Answer and explanation

Correct answer: 5

In the given expression, \(6x^{12}-6x^{12}=0\) and \(7x^8-7x^8=0\). Thus, \(F(x)=9x^5-4\). The highest exponent with a non-zero coefficient is \(5\), so the degree of the polynomial is \(5\). Option 0 would apply only to a non-zero constant polynomial. Exam tip: simplify like terms first, then identify the highest remaining exponent.

Related tags

PolynomialsDegree Of PolynomialCancellation Of TermsAlgebraic ExpressionsClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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