If $\left( {x - 2} \right)$ is a common factor of the expressions ${x^2} + ax + b\;\,\,{\rm{and}}\,\;{x^2} + cx + d,$ then $\frac{{b - d}}{{c - a}}$ is equal to

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\left( {x - 2} \right)

is a common factor of the expressions

{x^2} + ax + b\;\,\,\mathrm{and}\,\;{x^2} + cx + d,

then

\frac{{b - d}}{{c - a}}

is equal to

View answer and explanation

Correct option: D

Option D (2) is correct because substituting x=2 into both quadratic expressions and solving for the ratio (b-d)/(c-a) yields 2.

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