#### Question

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

#### Solution

We have f(x) = 2x^{2} – 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.