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Question

The product of uncommon real roots of the equation x4+2x38x26x+15=0 and x3+4x2x10=0 is

A
6
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B
6
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C
8
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D
8
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Solution

The correct option is A 6
Let α be the common root.
α4+2α38α26α+15=0
α3+4α2α10=0
Given equations are (α23)(α2+2α5)=0 &
(α+2)(α2+2α5)=0
For common roots α2+2α5=0
Product of uncommon real roots is (3)(2)=6.

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