What is the constant term of the polynomial (2x-3)(x^2+x+1)?
Answer and explanation
Correct answer: -3
To find the constant term, multiply the constant terms of the two factors. The constant terms are -3 in (2x-3) and 1 in (x^2+x+1), so the constant term is (-3)·1 = -3. Option C, 1, is only the constant term of the second factor, not of the product. Exam tip: In a product of polynomials, the constant term is obtained by multiplying the constant terms of all factors.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
To find the constant term, multiply the constant terms of the two factors. The constant terms are -3 in (2x-3) and 1 in (x^2+x+1), so the constant term is (-3)·1 = -3. Option C, 1, is only the constant term of the second factor, not of the product. Exam tip: In a product of polynomials, the constant term is obtained by multiplying the constant terms of all factors.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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