What is the expansion of (3x+1)(x-4)?
Answer and explanation
Correct answer: (3x^2-11x-4)
Using the distributive law, (3x+1)(x-4)=3x^2-12x+x-4. Combining like terms gives -12x+x=-11x, so the expansion is (3x^2-11x-4). Option B has the wrong sign for the middle term. Exam tip: multiply every term in one binomial by both terms in the other binomial.
Frequently asked questions
What is the correct answer to this question?
(3x^2-11x-4)
Why is this the correct answer?
Using the distributive law, (3x+1)(x-4)=3x^2-12x+x-4. Combining like terms gives -12x+x=-11x, so the expansion is (3x^2-11x-4). Option B has the wrong sign for the middle term. Exam tip: multiply every term in one binomial by both terms in the other binomial.
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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