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Consider an unknown polynomial which whe...

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4).
If the equation R(x)=`x^2+ax+1` has two distinct real roots then values of 'a' are-

A

(-2,2)

B

`(-infty,-2)cup(2,infty)`

C

`(-2,infty)`

D

all real numbers

Text Solution

Verified by Experts

The correct Answer is:
D
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