Question

if x power two-one is a factor of a x power four+b x power three +c x power two + dx +e then show that a+c+e equal to b +d equal to zero

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Answer 1

Since x

2

−1 is a factor of ax

4

+bx

3

+cx

2

+dx+e.

Then (x−1) and x+1 are also factors of ax

4

+bx

3

+cx

2

+dx+e.

Let, f(x)=ax

4

+bx

3

+cx

2

+dx+e