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If (S(x)=s-11x) and (S(5)-S(13)=88), which conclusion is correct?

Answer and explanation

Correct answer: The condition is true for every value of \(s\)

\(S(5)=s-55\) and \(S(13)=s-143\). Therefore, \(S(5)-S(13)=(s-55)-(s-143)=88\). The terms containing \(s\) cancel, so the given condition is true for every value of \(s\). Neither \(s=88\) nor \(s=11\) is required. Exam tip: When subtracting expressions, use brackets and change the sign of every term in the second expression.

Related tags

Linear PolynomialsParameter IndependenceFunction ValuesAlgebraic SubtractionPolynomial EvaluationLinear Growth And DecayIntroduction To PolynomialsMathematics

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