Flashcards in Factoring Polynomials and Solving Deck (74)
When factoring by grouping, what is the first step?
Split the expression into two parts.
Step two: what do the two parenthesis need to do in order to continue factoring?
What are the matching parts considered to be?
If the first term is positive what is the GCF?
The GCF is positive.
If the first term is negative what is the GCF?
The GCF is negative.
Step two: if the two parentheses don't match what two things can you do?
1. Look for an error.
2. It cannot factor.
What is used to check the factored expressions?
To be sure that you are done factoring, what do you look for?
Difference of perfect squares
When factoring a sum or a difference of cubes, what is the phrase to remember?
Crummy crummy SOPS
Crummy crummy SOPS: crummy crummy =
cube root, cube root
Crummy crummy SOPS: S =
Crummy crummy SOPS: OP =
Crummy crummy SOPS: second S =
What is this formula used for:
a^3 + b^3 = (a+b) (a^2 - ab + b^2)
a^3 - b^3 = (a-b) (a^2 + ab + b^2)
Factoring a sum or difference of cubes
When solving polynomial equations, what tells how many solutions there are?
The biggest exponents.
When factoring in quadratic form, what do you do if the exponents are twice as much (for example ax^4 + bx^2 + c)
Nothing, don't worry.
How do you check to see if you are done factoring?
and make sure to look for a difference of squares.
Check for ____ _____ before circling final answer.
If an equation cannot factor or square root, what are the two other options for solving?
Graph or quadratic formula.
If it doesn't hit the x-axis it doesn't have any ____ _________.
If there are no real solutions, there are
Because you can't graph points that don't hit the x-axis, to solve a problem with imaginary solutions use
Polynomial vocabulary: one term; a number or a variable.
Polynomial vocabulary: the exponent.
Degree of a monomial
Polynomial vocabulary: one or more terms connected by plus or minus.
Polynomial vocabulary: the greatest exponent.
Degree of a polynomial
Polynomial vocabulary: In order with the largest exponent first, then descending.
Standard form of a polynomial
Polynomial vocabulary: used to describe and classify polynomials with two terms.
Polynomial vocabulary: used to describe and classify polynomials with three terms.