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If (A(x)=x^7+3x^2+5) and (B(x)=x^7+3x^2), what is the degree of (A(x)-B(x))?

Answer and explanation

Correct answer: 0

On subtraction, the like terms cancel: \(A(x)-B(x)=(x^7+3x^2+5)-(x^7+3x^2)=5\). This is a non-zero constant polynomial, so its degree is \(0\). Although the original polynomials have degree \(7\), their highest-degree terms cancel after subtraction. Exam tip: always simplify the polynomial first, then identify its highest power of the variable.

Related tags

PolynomialsDegree Of PolynomialSubtraction Of PolynomialsConstant PolynomialClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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