Polynomial operations and zeros 2 — Advanced Math

Questions in this quiz (5)

1. The remainder when $$P(x)=3x^3-4x+1$$ is divided by $$x-2$$ equals:

   • $$9$$
   • $$13$$
   • $$17$$
   • $$19$$

2. Which number is a zero of $$P(x)=x^3-4x^2-x+4$$?

   • $$-1$$
   • $$2$$
   • $$3$$
   • $$5$$

3. A polynomial with leading coefficient $$2$$ has zeros $$2$$ and $$-3$$. What is its constant term?

   • $$-12$$
   • $$12$$
   • $$-6$$
   • $$6$$

4. Which number is a zero of $$P(x)=x^3-4x^2-x+4$$?

   • $$-1$$
   • $$2$$
   • $$3$$
   • $$5$$

5. Is $$(x+4)$$ always a factor of $$x^2-5x-24$$?

   • $$(x+4)$$ is not a factor
   • $$(x+4)$$ is a factor
   • $$(x+4)$$ is a factor only when $$x$$ > $$0$$
   • $$(x+4)$$ is a factor only when $$x$$ < $$0$$