Subject
Quantitative Aptitude
Topic
Number
The HCF of two polynomials is (a + 3) and their LCM is a3 - 7a + 6. If one of the polynomial is a2 + 2a – 3, find the other polynomial.
The HCF of two polynomials is (a + 3) and their LCM is a3 - 7a + 6. If one of the polynomial is a2 + 2a – 3, find the other polynomial.
ক)
a2 + a – 6খ)
a2 – a – 6গ)
a2 + 2a – 6ঘ)
a2 – 2a – 6ঙ)
None of the aboveExplanation
a3 – 7a + 6 = (a – 1)(a + 3)(a – 2) a2 + 2a – 3 = (a – 1)(a + 3) We know that, HCF × LCM = Product of polynomials ⇒ (a + 3) × (a – 1)(a + 3)(a – 2) = Polynomial × (a – 1)(a + 3) ⇒ Polynomial = (a + 3)(a – 2) = a2 + a – 6Related questions
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