Difference and Perfect Squares
Factor:
121x2-169y2
(11x-13y)(11x+13y)
Factor:
n2+11n+24
(n+3)(n+8)
Factor:
21n3+7n2-15n-5
(3n+1)(7n2-5)
Factor:
4x2+16x+15
(2x+5)(2x+3)
What type(s) of factoring would you use to factor this quadratic polynomial?
8u2+34uv-30v2
GCF and Big X/Grouping
OR
GCF and Big X/Dividing out Leading Coefficient
Factor:
9s2-24st+16t2
(3s-4t)2
Factor:
2a2-30a+112
2(a-8)(a-7)
Factor:
14xy+8+2x+56y
2(x+4)(7y+1)
Factor:
36x2-15x-9
3(4x-1)(3x+1)
True or False:
(x+7)2=(x2+49)
False
What do we call an expression that is not factorable?
ex. (x2+16)
Prime
What's the theme of the unit 2 test?
A Trip to the Zoo.
What's sport do both of Mrs. Albertson's kids play?
Soccer
After the "Big X Method", what are the two ways you can finish factoring a Trinomial with a leading Coefficient?
Grouping and Dividing out the Leading Coefficient.
How do you know when you can use the difference of squares?
When all terms are perfect squares and subtraction is the operation.
Create a formula for the Difference of squares.
(a2-b2)=(a+b)(a-b)
The Area of a rectangle is expressed as x2-6x-112. Find an expression that represents the Length and the Width of the Rectangle.
LW=(x-14)(x+8)
What is the wrong way to group this polynomial?
5n3-4n2+40n-32
5n3 and -32, -4n2 and 40n
What is a Leading Coefficient?
The Coefficient of the first term when in standard form.
What's my name?
Ms. Palmer
Create a formula for the Perfect of Squares.
a2x2 (+/-) 2abx + b2
The Volume of a rectangular prism is expressed as 3x2+9x-210. Create an expression that represents the Length, Width, and Height of the rectangular prism.
LWH=3(x-7)(x+10)
How are grouping problems and GCF problems related?
grouping is just doing GCF 3 times.
Why do you divide out the leading coefficient after the Big X Method?
Because we used the leading coefficient to figure out factors. Then we need take it back out.
The area of a rectangle can be expressed as 2x2+5x-250. What is the Length of the rectangle if the x=11?
L=(2x+25)
L=47