All Algebra II Resources
Example Questions
Example Question #1 : Simplifying And Expanding Quadratics
Solve the equation for .
Cross multiply.
Set the equation equal to zero.
Factor to find the roots of the polynomial.
and
Example Question #1 : Quadratic Equations And Inequalities





Example Question #2 : Simplifying And Expanding Quadratics
Solve the equation for :
1. Cross multiply:
2. Set the equation equal to :
3. Factor to find the roots:
, so
, so
Example Question #3 : Simplifying And Expanding Quadratics
If you were to solve by completing the square, which of the following equations in the form do you get as a result?
When given a quadratic in the form and told to solve by completing the square, we start by subtracting from both sides. In this problem is equal to , so we start by subtracting from both sides:
To complete the square we want to add a number to each side which yields a polynomial on the left side of the equals sign that can be simplified into a squared binomial . This number is equal to . In this problem is equal to , so:
We add to both sides of the equation:
We then factor the left side of the equation into binomial squared form and combine like terms on the right:
Example Question #4 : Simplifying And Expanding Quadratics
If you were to solve by completing the square, which of the following equations in the form do you get as a result?
When given a quadratic in the form and told to solve by completing the square, we start by subtracting from both sides. In this problem is equal to , so we start by subtracting from both sides:
To complete the square we want to add a number to each side which yields a polynomial on the left side of the equation that can be simplified into a squared binomial . This number is equal to . In this problem is equal to , so:
We add to both sides of the equation:
We then factor the left side of the equation into binomial squared form and combine like terms on the right:
Example Question #3 : Binomials
Expand:
None of the other answers are correct.
Use the FOIL method, which stands for First, Inner, Outer, Last:
Example Question #1 : Quadratic Equations And Inequalities
Multiply:
Example Question #6 : Simplifying And Expanding Quadratics
Multiply:
Example Question #7 : Simplifying And Expanding Quadratics
Subtract:
When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:
Next, identify and group the like terms in order to combine them: .
Example Question #3 : How To Multiply Trinomials
Evaluate the following:
When multiplying this trinomial by this binomial, you'll need to use a modified form of FOIL, by which every term in the binomial gets multiplied by every term in the trinomial. One way to do this is to use the grid method.
You can also solve it piecebypiece the way it is set up. First, multiply each of the three terms in the trinomail by . Then multiply each of those three terms again, this time by .
Finally, you can combine like terms after this multiplication to get your final simplified answer:
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