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

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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`

  Is there an error in this question or solution?
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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