4.4 Flashcards
Factoring a polynomial
Factor out a GCF if possible and use grouping or quadratics to factor completely.
Factoring using the quadratic form
If the monomials in a polynomial are perfect squares, you can factor by multiplying the square root by itself
Steps to factoring the sum and difference of cubes
Factor by taking the cube root
Set it up by subtracting/adding the first term and second term (Use the same subtraction/addition as the original problem)
Then make a polynomial using the first term squared plus/minus (use the opposite of the original problem) first term * second term plus second term squared.
What is a problem where you factor a cube root made of?
A binomial and a polynomial
What do you do when finding the zeros with a squared binomial that cannot be factored?
Get the x² on one side and take the square root of both sides
How to show something is a zero of a function
Plug it into all of the x’s. if the remainder is zero, it is a zero
How to show something is a factor of a function
Take the opposite of the #, use synthetic division, and divide the function by the number