Vocabulary
What is a perfect square?
A number multiplied by itself
Is the following equation quadratic?
f(x) = x3 + x2
No because the x is cubed and x can only be squared in a quadratic function. X can only go to the second power.
What type of Factoring will you use for this problem? 8x + 10x2 - 4
GCF Factoring
This is a polynomial of one term, e.g. 4x.
What is a monomial?
2x + 4x +5
What is a square root?
The number that when multiplied by itself will create a perfect square.
How does a quadratic equation look on a graph? Sketch one and show it to your teacher
It will have a U-shape facing upward or downward
Use GCF to Factor
10x4 - 12x - 20
2( 5x4 -6x - 10)
This is a polynomial of two terms, e.g. 4x+1.
What is a binomial?
2x2 + 5x + 6x2 - 4
8x2 - 1
What does FOIL stand for?
First Outter Inner Last
A parabola
What type of factoring will you use and what will it look like once factored. 4x4 - 121
(2x2 + 11) (2x2 - 11)
DOPS
This is a polynomial of three terms.
What is a trinomial, e.g. the Sum/Difference of Squares?
Multiply the following
2(x + 4 - 5x2)2x + 8 - 10x2
What is a quadratic function?
A special relationship between the x and y variable that when graphed creates a u-shaped graphed or parabola
These term collections have a symmetry about the origin, which is the point (0,0).
What are odd polynomials?
What does DOPS stand for?
Difference of Perfect Squares
Write the following in standard form
5x2+ 4x4 - 6x5
- 6x5 + 4x4 + 5x2
(2x2 + 4) (3x2 - 4)
6x4 - 20x2 - 16
What is the standard form of a quadratic function?
What is the line called that splits the parabola in half?
Axis of symmetry
16y4 - 400x16
(4y2 + 20x4) (4y2 - 20x4)
Create a polynomial with a leading coefficient of 3 a constant of 2 and a degree of 8
example
3x8 + 2
If A - B and A = 2x3 + 4x5 and B = 4x3 - 5x4
- 2x3 - 5x4 + 4x5