factor theorem confusion
can anyone explain how to do questions 33-37 (odd) and 57 in section 4.2?
posted by Anonymous at 5:54 PM
Blog for students in Mr. Karafiol's Period 4 Precalculus BC class to talk about math, learning math, etc.
posted by Anonymous at 5:54 PM
2 Comments:
well u sue the factor theorem that says that c is a root of the equation f(x) when x-c is a factor. You can use this for the problems 33-37 by pluging c into the equation and if the solution is 0, then it is a factor of the equation. For example:
36) c=-1 and would plug c in for x in the equation, so...
f(x)=-1^3-4(-1)^2+3(-1)+8
f(x)=0
so c is a root, thus thus h(x) is a factor of f(x)
i hope that made sense
For number 57, f(x)=x64+x^2+1 and
c is any real numeber. Replace x with c, so f(c)=c^4+c^2+1. In order for x-c to be a factor, the remainder would have to be 0.In this case, any real number raised to teh fourth power would be greater than or equal to 0. The smallest remainder possible would be 1 in this case. So x-c is not a factor of x^4+x^2+1.
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