ILLUSTRATION 2.1
Letf(x) be a quadratic polynomial satisfying f (2) + f(4) = 0.
If unity is one root of f(x)=0 then find

1 thought on “ILLUSTRATION 2.1<br />Letf(x) be a quadratic polynomial satisfying f (2) + f(4) = 0.<br />If unity is one root of f(x)=0 then find”

1. From the given information,

   f(x)=(x−1)(ax+b)

   So, f(2)=2a+b

   and ” ” f(4)=3(4a+b)=12a+3b

   Given that f(2)+f(4)=0

   ⇒ 14a+4b=0

   ⇒ b=−7a2

   ∴ Equationis(x−1)(ax−7a2)=0

   Therefore, other root is 7/2

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