Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 9MathematicsExploring Algebraic IdentitiesFactorisationHardLevel 69
0 reads0 ratings0 helpful

Which of the following trinomials can be factorised as the product of two identical binomials?

Advertisement

Answer and explanation

Correct answer: \(x^2+14x+49\)

For a perfect-square trinomial, the square of the middle coefficient equals four times the product of the first and last coefficients. Here, \(14^2=4\times1\times49=196\), so it has identical binomial factors. Exam tip: check \(b^2=4ac\).

Related tags

FactorisationAlgebraic IdentitiesPerfect Square TrinomialQuadratic ExpressionsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(x^2+14x+49\)

Why is this the correct answer?

For a perfect-square trinomial, the square of the middle coefficient equals four times the product of the first and last coefficients. Here, \(14^2=4\times1\times49=196\), so it has identical binomial factors. Exam tip: check \(b^2=4ac\).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

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, \((a+b)(a-b)\)?
Advertisement