What is the expanded form of the polynomial (x − 7)(x + 3)?
Answer and explanation
Correct answer: x² − 4x − 21
Using the distributive property, (x − 7)(x + 3) = x² + 3x − 7x − 21 = x² − 4x − 21, so option A is correct. Option B results from adding the middle terms with the wrong sign. In an exam, multiply each term of one binomial by both terms of the other and then combine like terms.
Frequently asked questions
What is the correct answer to this question?
x² − 4x − 21
Why is this the correct answer?
Using the distributive property, (x − 7)(x + 3) = x² + 3x − 7x − 21 = x² − 4x − 21, so option A is correct. Option B results from adding the middle terms with the wrong sign. In an exam, multiply each term of one binomial by both terms of the other and then combine like terms.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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