Study Plan

Plan and/or Tasks

Prerequisite: Learners should know how to factor polynomials.

Glossary

Quadratic

Quadratic is synonymous with parabolic.

Real Numbers

All positive and negative numbers and zero. The set of real numbers also includes all positive and negative fractions and all decimals that are repeating or non-repeating-- terminating or non-terminating.

Factors

Numbers that are multiplied together.

Product

The answer when numbers are multiplied together.

Experience:

1. Read the information above, including examples for Finding solutions to quadratic equations.
2. Using the first example, redo it on another piece of paper without looking at the answer. Then, check your work.

Key Questions (Critical Thinking Questions)

Answer in your journal.

1. How do you solve a quadratic equation?
2. How many solutions are there to a quadratic equation?
3. Use the two dimensional graph given on the resource page to find the solutions to: x²   -x-20 = 0.
4. What is the relationship between the solutions to a quadratic equation and the x-axis?
5. For what values of b is the expression factorable: x²  +bx +12?
6. Name four values of b which make the expression factorable: x² -3x +b .
   7. Why is it impossible to have a linear trinomial with one variable?

Skill Exercises:

Complete in Khan Academy: Solving Quadratics by Factoring