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If X = 2 is a Root of the Polynomial F(X) = 2x2 – 3x + 7a Find the Value of A. - CBSE Class 9 - Mathematics

ConceptFactorisation of Polynomials

Question

If x = 2 is a root of the polynomial f(x) = 2x2 – 3x + 7a find the value of a.

Solution

We have  f(x) = 2x2 – 3x + 7a

put x=2⇒ f(2)=2(2)^2-3(2)+7a

=2xx4-3xx2+7a=8-6+7

=2+7a

given x=2 is a root of f(x)=2x^2-3x=7a

⇒f(2)=0

∴2+7a=0

⇒7a=-2⇒    a=-2/7

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Solution If X = 2 is a Root of the Polynomial F(X) = 2x2 – 3x + 7a Find the Value of A. Concept: Factorisation of Polynomials.
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