Maths - Factor Theorem

Flashcards

If $f(x)$ is a polynomial and $f(p) = 0$, what must be true?

$(x - p)$ is a factor of $f(x)$.

If $f(x)$ is a polynomial and $(x-p)$ is a factor of $f(x), what must bbe true?

\[f(p) = 0\]

If $f(x)$ is a polynomial and $f\left(\frac{b}{a}\right) = r$, what must be true?

Dividing $f(x)$ by $(ax - b)$ has remaineder $r$.

If $f(x)$ is a polynomial and dividing by $(ax - b)$ has remainder $r$, what must be true?

\[f\left(\frac{b}{a}\right) = r\]