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What is the coefficient of (x) in ( (x-4)(x+6) )?

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Answer and explanation

Correct answer: 2

\((x-4)(x+6)=x^2+6x-4x-24=x^2+2x-24\). Therefore, the coefficient of \(x\) is \(2\). The number \(-24\) is the constant term, not the coefficient of \(x\). Exam tip: simplify the expression by combining like terms before identifying a coefficient.

Related tags

Algebraic IdentitiesBinomial MultiplicationCoefficient Of XPolynomial ExpansionGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

\((x-4)(x+6)=x^2+6x-4x-24=x^2+2x-24\). Therefore, the coefficient of \(x\) is \(2\). The number \(-24\) is the constant term, not the coefficient of \(x\). Exam tip: simplify the expression by combining like terms before identifying a coefficient.

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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