If ${x^2} + px + 1$ is a factor of the expression $a{x^3} + bx + c$, then

JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

{x^2} + px + 1

is a factor of the expression

a{x^3} + bx + c

, then

View answer and explanation

Correct option: C

{a^2} - {c^2} = ab

Option C (

{a^2} - {c^2} = ab

) is correct because by equating coefficients after assuming

a{x^3} + bx + c

is divisible by

{x^2} + px + 1

, we arrive at the relationship

{a^2} - {c^2} = ab

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