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If (p(x)=6x+a) and (q(x)=8x-a), what is (q(x)-p(x))?

Answer and explanation

Correct answer: \(2x-2a\)

\(q(x)-p(x)=(8x-a)-(6x+a)\). Since there is a minus sign before the second bracket, the signs of both its terms change: \(8x-a-6x-a=2x-2a\). Hence, the correct answer is \(2x-2a\). The option \(2x\) incorrectly omits \(-a-a=-2a\). Exam tip: While subtracting polynomials, keep the second polynomial in brackets and change all its signs.

Related tags

PolynomialsLinear PolynomialsSubtraction Of PolynomialsAlgebraic ExpressionsGrade 9 MathematicsIntroduction To PolynomialsMathematicsClass 9 Mcq

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