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What is the coefficient of \(x\) in ( \(x-2\)\(x-5\) )?
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Answer and explanation
Correct answer: \(-7\)
Using the distributive property, \((x-2)(x-5)=x^2-5x-2x+10=x^2-7x+10\). Therefore, the coefficient of \(x\) is \(-7\). The number \(10\) is the constant term, not the coefficient of \(x\). Exam tip: in \((x-a)(x-b)\), the coefficient of \(x\) is \(-(a+b)\).
Frequently asked questions
What is the correct answer to this question?
\(-7\)
Why is this the correct answer?
Using the distributive property, \((x-2)(x-5)=x^2-5x-2x+10=x^2-7x+10\). Therefore, the coefficient of \(x\) is \(-7\). The number \(10\) is the constant term, not the coefficient of \(x\). Exam tip: in \((x-a)(x-b)\), the coefficient of \(x\) is \(-(a+b)\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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