What will be the constant term in (3u + 2v + 1)²?
Answer and explanation
Correct answer: 1
The governing concept is the constant term of a polynomial expression. A constant term contains no variable, so in (3u + 2v + 1)² it comes from squaring the constant part 1: 1² = 1. Other terms, such as 4v² and 6uv, contain variables and therefore are not constant terms. Hence option A is correct; option B is merely the unsquared coefficient and is not the required result.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The governing concept is the constant term of a polynomial expression. A constant term contains no variable, so in (3u + 2v + 1)² it comes from squaring the constant part 1: 1² = 1. Other terms, such as 4v² and 6uv, contain variables and therefore are not constant terms. Hence option A is correct; option B is merely the unsquared coefficient and is not the required result.
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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