What will be the coefficient of \(x^2\) in ( (x-2)(x+3)(x+5) )?
Answer and explanation
Correct answer: 6
In the product of three linear factors, the coefficient of \(x^2\) equals the sum of the constant terms. Thus, \((-2)+3+5=6\). Therefore, the correct answer is 6. Option 5 results from adding only the positive constants \(3+5\) and ignoring the negative sign of \(-2\). Exam tip: always include signs while adding constant terms.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
In the product of three linear factors, the coefficient of \(x^2\) equals the sum of the constant terms. Thus, \((-2)+3+5=6\). Therefore, the correct answer is 6. Option 5 results from adding only the positive constants \(3+5\) and ignoring the negative sign of \(-2\). Exam tip: always include signs while adding constant terms.
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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