Polynomials, factor theorem and algebraic division Quiz

1. Which is a factor of $f(x)=x^3-6x^2+11x-6$?

• A. $(x+1)$
• B. $(x-4)$
• C. $(x-3)$
• D. $(x+2)$

2. Divide $x^2+5x+6$ by $(x+2)$.

• A. $x+3$
• B. $x-3$
• C. $x+2$
• D. $x+6$

3. $(x-1)$ is a factor of $x^3+kx^2-4x+1$. Find $k$.

• A. $-2$
• B. $0$
• C. $1$
• D. $2$

4. Given $f\left(\frac32\right)=0$, which must be a factor of $f(x)$?

• A. $(2x+3)$
• B. $(2x-3)$
• C. $(3x-2)$
• D. $(x+3)$

5. How many times does $(x+2)$ divide $x^3+3x^2-4$?

• A. $0$
• B. $1$
• C. $2$
• D. $3$