Remainder theorem and zeroes of a function

[Keith]

Ted,
There are three questions I am struggling with on my homework assignment. Here is one of them.
The question states:"Given f(x) = x^2 + Bx +C, B does not = 0, C does not = 0. If B and C are real zeroes of f(x), determine the product of B and C."
Please advise.

 

[garf]

Hi keith!
That B is zero of the function means f(B) =0 and the same for C.
How about substituting B and C on gthe function:
B[sup:2vs03jsr]2[/sup:2vs03jsr]+B[sup:2vs03jsr]2[/sup:2vs03jsr]+C=0
and
C[sup:2vs03jsr]2[/sup:2vs03jsr]+BC+C=0
Then isolate B from one of the equations and C on the other and then multiply B by C.
Let me know if this helps,
garf

 

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