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What is the constant term of the polynomial \\(4x+3)(x^2-2x+5)\\)?

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Answer and explanation

Correct answer: 15

The constant term is the term that contains no \(x\). In the product, it is obtained only by multiplying the constant terms: \(3\times5=15\). Therefore, the correct answer is 15. The value 5 is the constant term of only the second factor, not of the complete product. Exam tip: To find the constant term of a product, multiply the constant terms of its factors.

Related tags

Constant TermPolynomials In One VariablePolynomial MultiplicationAlgebra

Frequently asked questions

What is the correct answer to this question?

15

Why is this the correct answer?

The constant term is the term that contains no \(x\). In the product, it is obtained only by multiplying the constant terms: \(3\times5=15\). Therefore, the correct answer is 15. The value 5 is the constant term of only the second factor, not of the complete product. Exam tip: To find the constant term of a product, multiply the constant terms of its 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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