Quadratic Equations — Advanced Math

Questions in this quiz (8)

1. Which quadratic has zeros at $$x=-2$$ and $$x=5$$?

   • $$x^2+3x-10=0$$
   • $$x^2-3x-10=0$$
   • $$x^2-3x+10=0$$
   • $$x^2+3x+10=0$$

2. Solve for $$x$$: $$x^2-5x+6=0$$

   • $$2,3$$
   • $$-2,3$$
   • $$2,-3$$
   • $$-2,-3$$

3. If $$x^2+4x=5$$ what is the value of $$x$$?

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

4. Solve for $$x$$: $$3x^2-12x=0$$

   • $$-3,4$$
   • $$4$$
   • $$-4,3$$
   • $$0,4$$

5. Which equation is equivalent to $$x^2-6x+8=0$$ after completing the square?

   • $$(x-3)^2=1$$
   • $$(x-3)^2=8$$
   • $$(x-4)^2=2$$
   • $$(x-2)^2=4$$

6. The equation $$x^2+10x+16=0$$ can be factored as:

   • $$(x+1)(x+16)=0$$
   • $$(x+4)(x+6)=0$$
   • $$(x+8)(x+2)=0$$
   • $$(x+5)(x+3)=0$$

7. If $$x=2$$ and $$x=-\frac{3}{2}$$ are the roots of a quadratic equation, which of the following must be the equation?

   • $$2x^2+x+6=0$$
   • $$2x^2+x-6=0$$
   • $$2x^2-x+6=0$$
   • $$2x^2-x-6=0$$

8. The equation $$x^2-8x+12=0$$ has roots $$p$$ and $$q$$. What is the value of $$p+q$$?

   • $$12$$
   • $$-12$$
   • $$8$$
   • $$-6$$