What is the constant term in ( (x+6)(x-1) )?
Answer and explanation
Correct answer: -6
\((x+6)(x-1)=x^2-x+6x-6=x^2+5x-6\). Hence, the term without \(x\), namely \(-6\), is the constant term. The number \(5\) is the coefficient of the middle term \(5x\), not the constant term. Exam tip: in a product of two binomials, multiply the constant terms to find the constant term.
Frequently asked questions
What is the correct answer to this question?
-6
Why is this the correct answer?
\((x+6)(x-1)=x^2-x+6x-6=x^2+5x-6\). Hence, the term without \(x\), namely \(-6\), is the constant term. The number \(5\) is the coefficient of the middle term \(5x\), not the constant term. Exam tip: in a product of two binomials, multiply the constant terms to find the constant term.
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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