Write (5x^2+16x+3) in factors.
Answer and explanation
Correct answer: \((5x+1)(x+3)\)
On expanding \((5x+1)(x+3)\), we get \(5x^2+15x+x+3=5x^2+16x+3\), so it is the correct factorisation. Option B gives \(5x^2+8x+3\), so its middle-term coefficient is incorrect. Exam tip: check that the sum of the outer and inner products equals the coefficient of the middle term.
Frequently asked questions
What is the correct answer to this question?
\((5x+1)(x+3)\)
Why is this the correct answer?
On expanding \((5x+1)(x+3)\), we get \(5x^2+15x+x+3=5x^2+16x+3\), so it is the correct factorisation. Option B gives \(5x^2+8x+3\), so its middle-term coefficient is incorrect. Exam tip: check that the sum of the outer and inner products equals the coefficient of the middle term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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