Factoring a=1/Difference of Squares
Factor:
x2+5x+6
(x+3)(x+2)
Simplify and Name this Polynomial:
(3x+4)+(2x+3)
5x+7
Linear Binomial
Factor
3n2-15n
3n(n-5)
Simplify:
3xy2/x2y
3y/x
The length of a rectangle is x. The width of the same rectangle is x+4. Give me the expression that represents the perimeter of this rectangle.
4x+8
Factor:
x2-4
(x+2)(x-2)
Simplify and Name this Polynomial
(3x-7)-(4x+5)
-x-12
Linear Binomial
Factor:
3x2-5x-28
(3x+7)(x-4)
Simplify
(x+5)/(4x+20)
1/4
The length of a rectangle is x+2. The width of the same rectangle is 4x-1. Give me the expression representing the area of this rectangle.
4x2+7x-2
Factor:
x2+2x-24
(x+6)(x-4)
Simplify and Name this Polynomial
(x-5)(4x+2)
4x2-18x-10
Quadratic Trinomial
Factor:
8n2+56n2-7n-49
(8n2-7)(n+7)
Simplify
(6x+36)/(24x-42)
(x+6)/(4x-7)
Two of the three sides of a triangle have lengths as follows. 3x+6. 4x-2. The perimeter of the triangle is 9x+10. What is the length of the missing side?
2x+6
Factor:
x2-11x-42
(x-14)(x+3)
Simplify and Name this Polynomial
(3x-4)(x2-6x+2)
3x3-22x2+30x-8
Cubic Polynomial
Factor:
35n3-25n2-210n+150
5(n2-6)(7n-5)
Simplify:
x2-4x+4/x2+6x-16
(x-2)/(x+8)
I am building a rectangular garden in my backyard. The length is 2x, and the width is x-2. I am building a wooden walkway that is 6 inches wide around the garden. What is the area of the entire walkway and garden?
2x2+32x+120 in2
Factor:
1849x2-625
(43x+25)(43x-25)
What is the Value of K in this Equation?
3x(2x2-9)+(kx-5)=6x3-20x-5
k=7
What are ALL THREE Possible Values for the Blank in Order for the Trinomial to be Factorable?
x2+__x+28
11, 16, 29
Simplify:
4x2-36x+80/2x2-2x-40
2(x-4)/(x+4)
I have built a rectangular garden whose length is 2 more than 3 times the width. I have built a wooden walkway around that is 2 feet wide. What is the area of the walkway only?
16x+24 ft2