ALGEBRA 2 – CHAPTER 5 QUADRATICS

5-2 PROPERTIES OF PARABOLAS

STANDARD FORM OF A PARABOLA

MAXIMUM OR MINIMUM

5-4 FACTORING QUADRATIC EXPRESSIONS EQ: HOW DO YOU REDUCE A QUADRATIC EXPRESSION INTO ITS LINEAR FACTORS? Factor these expressions – Do you remember?

5-4 FACTORING QUADRATIC EXPRESSIONS EQ: HOW DO YOU REDUCE A QUADRATIC EXPRESSION INTO ITS LINEAR FACTORS? Factoring is rewriting an expression as the product of its factors. The greatest common factor (GCF) of the expression is a common factor of the term of the expression.

5-4 FACTORING QUADRATIC EXPRESSIONS EQ: HOW DO YOU REDUCE A QUADRATIC EXPRESSION INTO ITS LINEAR FACTORS? When you factor a quadratic expression in the form ax 2 + bx +c you are looking for a pair of factors that multiply to equal ac and add to equal b.

5-4 FACTORING QUADRATIC EXPRESSIONS EQ: HOW DO YOU REDUCE A QUADRATIC EXPRESSION INTO ITS LINEAR FACTORS?

Homework: page 268 (1-45) every other odd

5-4 SOLVING QUADRATIC EQUATIONS Solving a quadratic equation means finding the values of the variable that make the equation true. Usually, for a quadratic equation, there are two solutions. There are several methods to solve quadratic equations: Factoring Finding Square Roots Completing the Square Using the Quadratic Formula

5-4 SOLVING QUADRATIC EQUATIONS Solving by factoring requires: Setting the equation equal to zero Completely factoring the equation Using the Zero-Product property to find the zeros. Set each factor equal to zero and solve for the variable. This solution is called a zero of the equation because it makes the equation equal zero.

5-4 SOLVING QUADRATIC EQUATIONS

SIMPLIFYING SQUARE ROOTS

5-6 COMPLEX NUMBERS HOW DO YOU TAKE THE SQUARE ROOT OF A NEGATIVE NUMBER?

When you add or subtract complex numbers you combine the real parts and imaginary parts separately. When you multiply complex numbers you use the rules for multiplying binomials (FOIL) Remember that i 2 = -1

5-6 COMPLEX NUMBERS HOW DO YOU TAKE THE SQUARE ROOT OF A NEGATIVE NUMBER?

Write each answer in a + bi form

5-7 COMPLETING THE SQUARE USING PERFECT SQUARES TO SOLVE EQUATIONS

You can solve an equation where one side of the equation is a perfect square by finding square roots.

5-7 Completing the Square Using perfect squares to solve equations

Find the missing constant to complete the square: write the factored square.

5-7 Completing the Square Using perfect squares to solve equations

homework: page 289 (1-33) odd Chapter 5 study guide will be given out at our next class. Chapter 5 Test will be given the Thursday(5 th ) and Friday (6 th ) after Thanksgiving break. 5-7 Completing the Square Using perfect squares to solve equations

5-8 THE QUADRATIC FORMULA

Homework: p 289 (23-33) odd p 297 (1-39) odd