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Mrs. Collett's Classroom Data

Mrs. Collett's Classes

Types of Factoring

Identifying special situations in factoring

• Difference of two squares
• a²- b² = (a + b)(a - b)
• 3 examples
• Trinomial perfect squares
• a² + 2ab + b²= (a + b)(a + b) or (a + b)²
• 3 examples
• ^{a2 - 2ab + b2 = (a - b)(a - b) or (a - b)2}
• 3 examples
• Difference of two cubes
• a³ - b³
• 3 - cube root 'em
• 2 - square 'em
• 1 - multiply and change
• 3 examples
• Sum of two cubes
• a³ + b³ 
• 3 - cube root 'em
• 2 - square 'em
• 1 - multiply and change
• 3 examples
• Binomial expansion
• (a + b)³ = Use the pattern
• (a + b)⁴ = Use the pattern

End Behaviors

Domain - x values

Range - y values referred to as f(x)

• domain → +∞, range → +∞ (rises on the right)
• domain → -∞, range → -∞ (falls on the left)

• domain → -∞, range → +∞ (rises on the left)
• domain → +∞, range → -∞ (falls on the right)

• domain → +∞, range → +∞ (rises on the right)
• domain → -∞, range → -∞ (falls on the left)

• domain → +∞, range → -∞ (falls on the right)
• domain → -∞, range → -∞ (falls on the left)

INT Algebra2-Lennart Galdiga: Quadratic Functions

Click on the link below and you will see EXACTLY what you need to do for this blog. If he could find a image or two of the graphing of each of the equations....IT WOULD BE PERFECT!

INT Algebra2-Lennart Galdiga: Quadratic Functions: "How to identify quadratic functions: Standardform: ax² + bx + cy² + dy + e= 0 If you have an equation like 4x² + 4y²=36 The equation is a ..."

Multipying Matrices

This is as good as you can do! AWESOME!!!

Multipying Matrices: "

Scalar multiplication is when you distribute the number outside the matrix to all the numbers inside the brackets.

To multiply matrices, you first need to write a dimension statement. The dimension statement basically states that the columns of the first matrix must match the rows of the other matrix
For example:

2 x 2 2 x 2

2 x 2 times 2 x 2

The numbers highlighted show that the matrices can be multiplied, since the inside numbers are the same.

2 x 2 times 2 x 2

These numbers become the dimensions for the product matrix.

After you determined that the matrices can be multiplied, then you start to multiply them together. To do this, you would multiply the first row of the first matrix with the column of the second matrix. More specifically, you would multiply the first number of the first row on the first matrix with the first number of the first column of the second matrix. You then add the products together and thats the first number of the product matrix. You repeat this until all the numbers of both the matrices have been multiplied, giving you your product matrix.

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