Math PapaPodcasts

KEY CONCEPTS: This video looks at Quadratic Function written in the form:

y=a(x-h)^2 - where the vertex is (h,0)

**NOTE: When writing the x-value of the vertex, take the opposite sign of what's within the brackets. (i.e. y=2(x+3)^2 would give us a vertex of (-3,0)

KEY CONCEPTS:

The following podcasts investigates table of values for quadratic functions. Understanding that difference we can graph other quadratic functions without the need to complete a table of values.

This short video just looks at how parabolas are everywhere.

KEY CONCEPTS:

Notice that your trinomial is a quadratic function, where the value of a is NOT equal to 1.

Use the sum-product rule
i.) find 2 numbers that multiply to your "a" and "c" value, that ALSO ADD up to your "b" value.
ii.) expand your middle term
iii.) factor by grouping
iv.) answer should be a set of binomials

KEY CONCEPTS:

same rules apply like when multiplying monomials, except that we are dividing. Also remember the exponent rule, when powers have the same base, subtract the exponents.

KEY CONCEPTS:

When multiplying monomials, multiply:

- numbers with numbers
- same letters with same letters

**NOTE: When multiplying the letters with one another keep in mind the exponent rule for multiplying powers with the same base (ADD the exponents)

KEY CONCEPTS:

When subtracting polynomials, distribute the negative from outside of the brackets by REVERSING the signs of all the terms within the brackets.

KEY CONCEPTS:

Since the function outside of the SECOND set of brackets is a positive you can simply remove the brackets and collect like terms.

LIKE TERMS: terms that have the same variable (letter) as well as the same exponent. When adding the like terms, simply add the numbers in front and keep the variable (letter) the same (i.e. 3x+5x = 8x)

x, 7x, 9x, -3x are like terms with one another. 6x^2 is NOT a like term with the previous examples because of the exponent 2 found with the variable x.