2.12 Polynomial functions Quiz

1. $(x + 3)$ is a factor of $x^{3} + kx - 6$. Find $k$.

• A. $-11$
• B. $11$
• C. $-7$
• D. $7$

2. The remainder when $2x^{3} - x + 4$ is divided by $(x - 1)$ is

• A. $5$
• B. $3$
• C. $1$
• D. $7$

3. The product of the roots of $4x^{3} + 2x^{2} - 7x + 12 = 0$ is

• A. $-3$
• B. $3$
• C. $-12$
• D. $\frac{7}{4}$

4. A polynomial $f$ has $f(x) = (x - 1)^{2}(x + 4)$. At $x = 1$ the graph

• A. touches the x-axis
• B. crosses the x-axis with non-zero gradient
• C. has a vertical asymptote
• D. does not meet the x-axis

5. The roots of $x^{3} - 6x^{2} + 11x - 6 = 0$ are $1$, $2$ and $r$. Find $r$.

• A. $3$
• B. $-3$
• C. $6$
• D. $1$