Solve quadratic equations by two main methods: factoring and using the quadratic formula.

2m²-m-15=0 (this one is to be factored)

2y²-3y-6=0 (solve using quadratic formula).

• For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.

• For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps.

• Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.

• Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):

o Quadratic formula

o Factoring

o Completing the square

o Discriminant

**Subject Mathematics Algebra**