What is the factorised form obtained by taking the common factor out of the polynomial \(2x^3+6x^2\)?
Answer and explanation
Correct answer: \(2x^2(x+3)\)
Both terms, \(2x^3\) and \(6x^2\), contain 2 and \(x^2\), so the common factor is \(2x^2\). Dividing each term by it gives \(2x^3+6x^2=2x^2(x+3)\). Option B does not reproduce the second term correctly. Exam tip: take the HCF of the numerical coefficients and the lowest power of the common variable.
Frequently asked questions
What is the correct answer to this question?
\(2x^2(x+3)\)
Why is this the correct answer?
Both terms, \(2x^3\) and \(6x^2\), contain 2 and \(x^2\), so the common factor is \(2x^2\). Dividing each term by it gives \(2x^3+6x^2=2x^2(x+3)\). Option B does not reproduce the second term correctly. Exam tip: take the HCF of the numerical coefficients and the lowest power of the common variable.
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
