Math PapaPodcasts

KEY CONCEPTS:

First step to factoring, is to find a common factor.

After that, regardless of whether there is a common factor or not is to count the number of terms.

Based on that will determine how to Factor

KEY CONCEPTS:(a+b)^2 = a^2+2ab+b^2

- square your a value - first term of your Perfect Square Trinomial
- square your b value - third term of your Perfect Square Trinomial
- multiply your a and b value together and then multiply that value by 2 to get your middle term of your trinomial

KEY CONCEPTS:

F.O.I.L Method - First - Outer - Inner - Last

Multiplying binomials form trinomials

KEY CONCEPTS:

In this video we see how Quadratic Function written in the form of:

y=ax^2+k - will lead us to a vertex of (0,k)

KEY CONCEPTS: In this video we look at the 1,3,5-Pattern for graphing quadratic function (parabolas). These videos are intended for the viewer to steer away from using Table of Values and to use the Vertex form along with the 1,3,5-Pattern.

How did we come up with the 1,3,5-Pattern? Look closely at the differences in the y-axis.

KEY CONCEPTS:

The following video looks at the various ways that quadratic functions can be written. Be on the lookout for such equations, because if you ever come across them you'll know they form a parabola.

KEY CONCEPTS:

Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM.

Steps:
1. Group the x's together and keep the constant (c-value) off to the side.
2. Factor the a-value from x^2 and x (IF we have an a-value)
3. Divide the x-value by 2 and then square it.
4. With the value you get from Step 3, add it to your x^2 and x value and subtract it by that same value (don't forget about the c-value - we're not using it yet, until the end)
5. The first 3 terms you have form a Perfect Square Trinomial (P.S.T) - Factor your P.S.T by square rooting your first term of the PST and the third term of the PST
6. Create your binomial of squares (Special Products)
7. Multiply your a-value (IF you factored one out) with the minus value from Step 4.
8. Simplify the number from Step 7 with the c-value we set aside at the start.

KEY CONCEPTS:

Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM.

Steps:
1. Group the x's together and keep the constant (c-value) off to the side.
2. Factor the a-value from x^2 and x (IF we have an a-value)
3. Divide the x-value by 2 and then square it.
4. With the value you get from Step 3, add it to your x^2 and x value and subtract it by that same value (don't forget about the c-value - we're not using it yet, until the end)
5. The first 3 terms you have form a Perfect Square Trinomial (P.S.T) - Factor your P.S.T by square rooting your first term of the PST and the third term of the PST
6. Create your binomial of squares (Special Products)
7. Multiply your a-value (IF you factored one out) with the minus value from Step 4.
8. Simplify the number from Step 7 with the c-value we set aside at the start.
9 Now you have your equation in VERTEX FORM.