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.

 

[mmm4444bot]

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 products of B and C. There are two answers, so the noun needs to be plural.

I set up a system of two equations in B and C.

If B is a zero of f, then substituting x = B yields zero.

Same goes for C.

Here is the system:

(B)^2 + B(B) + C = 0

(C)^2 +B(C) + C = 0

Can you finish? If not, please show us what you tried.

Cheers ~ Mark

 

[mmm4444bot]

DUPLICATE POST