jee-main 2017 Q61

jee-main · India · 08apr Factor & Remainder Theorem Polynomial Construction from Root/Value Conditions

Let $p ( x )$ be a quadratic polynomial such that $p ( 0 ) = 1$. If $p ( x )$ leaves remainder 4 when divided by $x - 1$ and it leaves remainder 6 when divided by $x + 1$ then:
(1) $p ( - 2 ) = 19$
(2) $p ( 2 ) = 19$
(3) $p ( - 2 ) = 11$
(4) $p ( 2 ) = 11$

Let $p ( x )$ be a quadratic polynomial such that $p ( 0 ) = 1$. If $p ( x )$ leaves remainder 4 when divided by $x - 1$ and it leaves remainder 6 when divided by $x + 1$ then:\\
(1) $p ( - 2 ) = 19$\\
(2) $p ( 2 ) = 19$\\
(3) $p ( - 2 ) = 11$\\
(4) $p ( 2 ) = 11$

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