JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

f\left( x \right) = 2{x^4} - 13{x^2} + ax + b

is divisible by

{x^2} - 3x + 2

, then (a,b) is equal to

View answer and explanation

Correct option: C

\left( {9,\mathrm{ }2} \right)

Option C ((9, 2)) is correct because when

f(x)

is divisible by

x^2 - 3x + 2

, then

f(1) = 0

and

f(2) = 0

, which leads to a system of equations that solves to

a = 9

and

b = 2

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