Exit ticket · Factor Theorem
- $f(x) = x^3 + 4x^2 - 6x + 3$.
Work out $f(-1)$. - $(x - 3)$ is a factor of $f(x) = x^3 - 4x^2 - 4x + k$, where $k$ is a constant.
Find the value of $k$. - The graph shows $y = f(x)$, a cubic that crosses the $x$-axis at the three marked points.
The coefficient of $x^3$ in $f(x)$ is $1$.
Write $f(x)$ as a product of three linear factors.