JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

Let

\mathrm{p}(\mathrm{x})

be a quadratic polynomial such that

\mathrm{p}(0)=1

. If

\mathrm{p}(\mathrm{x})

leaves remainder 4 when divided by

\mathrm{x}-1

and it leaves remainder 6 when divided by

x+1

; then :

View answer and explanation

Correct option: C

\mathrm{p}(-2)=19

Option C (

\mathrm{p}(-2)=19

) is correct because when the quadratic polynomial p(x) is determined based on the given conditions, p(-2) evaluates to 19.

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