4.4

Question 1

Factoring a polynomial

Answer 1

Factor out a GCF if possible and use grouping or quadratics to factor completely.

Question 2

Factoring using the quadratic form

Answer 2

If the monomials in a polynomial are perfect squares, you can factor by multiplying the square root by itself

Question 3

Steps to factoring the sum and difference of cubes

Answer 3

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.

Question 4

What is a problem where you factor a cube root made of?

Answer 4

A binomial and a polynomial

Question 5

What do you do when finding the zeros with a squared binomial that cannot be factored?

Answer 5

Get the x² on one side and take the square root of both sides

Question 6

How to show something is a zero of a function

Answer 6

Plug it into all of the x’s. if the remainder is zero, it is a zero

Question 7

How to show something is a factor of a function

Answer 7

Take the opposite of the #, use synthetic division, and divide the function by the number