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Class 9MathematicsExploring Algebraic IdentitiesFactorisationHardLevel 69
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If every term of a polynomial has a common factor, what is the most appropriate first step in factorisation?

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Answer and explanation

Correct answer: सामान्य गुणनखंड को बाहर निकालना

When every term contains a common number, variable, or expression, taking it out rewrites the polynomial as a product of simpler factors. Adding exponents or squaring terms is not factorisation. Exam tip: first check the HCF of all terms.

Related tags

FactorisationCommon FactorAlgebraic IdentitiesPolynomialsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

सामान्य गुणनखंड को बाहर निकालना

Why is this the correct answer?

When every term contains a common number, variable, or expression, taking it out rewrites the polynomial as a product of simpler factors. Adding exponents or squaring terms is not factorisation. Exam tip: first check the HCF of all terms.

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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10 more MCQs
  1. 1What is the greatest common factor while factorising (6x+9)?
  2. 2Which is the correct factorisation of (4a+8)?
  3. 3Which common factor will be taken out from (xy+xz)?
  4. 4Choose the correct factorisation of (5m-15).
  5. 5In which of the following expressions is \(3m\) a common factor of every term?
  6. 6Which of the following expressions is a difference of two squares and can be factorised using the identity?
  7. 7Which identity is used to factorise (x^2-9)?
  8. 8Which is the correct factorisation of (x^2-16)?
  9. 9What is the factorisation of (a^2+2ab+b^2)?
  10. 10Which of the following expressions can be factorised using the identity for the difference of two squares, \((a+b)(a-b)\)?
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