Monomials and Factoring
Using the distributive Property
Quadratic Equations using
X²+ Bx+ c=0
Quadratic Equations using
Ax²+ Bx+ c=0
Differences of Squares and Perfect Squares
100
a product of prime numbers and variables of 1 degree
A monomial is in factored form when it's written as.....
100
Factor Each Term Find the GCF Rewrite each term using the GCF Apply the distributive property
What are the steps in factoring using the distributive property?
100
Using the factoring and square root method.
There are two ways of solving this problem and they are....
100
discriminant
What is the The expression inside the square root is called?
100
a²-b²
What is the formula used to find the difference of squares and perfect squares?
200
GCF is 1 and They are called "Relatively Prime"
What is If 2 or more monomials have no factors then the GCF is...? What are they called?
200
27 18 9 3 9 2 333 y y 332y GCF= 9y 27y²= 9y (3y) 18y= (9y)(2) (9y)(3y) + (9y)(2) 9y(3y+2)
Distribute 27y² + 18 y
200
If A x b = 0 then a=0 or B=0 and vice versa
What is the factoring method?
200
a = 3, b = 5, c = 2 x1,2 = (-5 ± √(52 - 4×3×2)) / (2×3) = (-5 ± √(25-24)) / 6 = (-5 ± 1) / 6 x1 = (-5 + 1)/6 = -4/6 = -2/3 x2 = (-5 - 1)/6 = -6/6 = -1
Solve 3x2+5x+2 = 0
200
4y2 (1 + 3y2) (1 - 3y2)
Factor 4y2 - 36y6
300
-1 40 5, 8 4,2 2,2 -1, 2,2,2,5,x,x,y,y,y
Factor -40x²y³
300
7x²y² + 21xy² - xy 7 x x y y 3 7 x yy -1xy GCF= xy 7x²y²= (xy)(7xy) 21xy²= (xy)(37y) -xy = (xy)(-1) xy(7xy+21y-1)
Distribute 7x²y² + 21xy² - xy
300
if x²=k then x=√k or x=-√k
What is the square root method?
300
a = 3, b = -6, c = 3 x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6 x1 = x2 = 1
Solve 3x2-6x+3 = 0
300
(x + 3) (x - 3)
Factor: x2 - 9
400
2,2,7,y,y, 5,7,x,y, 7,7,x,x,y,z
Find the GCF of 28y² , 35 xy, 49x²yz
400
ab= (-7)(36)= -252 a+b= 19 (-9)(28)=-252 a+b= (-9)(28)=-252 -9+28= 19 −7x2−9x+28x+36 (−7x2−9x)+(28x+36) x(−7x−9)−4(−7x−9)
Distribute −7x2+ 19x+ 36
400
9, 1
Solve using factoring method x²-10x+9=0
400
f(x) = ax2 + bx + c
What is the quadratic function of a second order polynomial function?
400
(2a)² (3)² (2a-3)(2a+3)
Solve 4a²-9
500
-17h² j k² l m n o³ -1 17 h h j k k l m n o o o
Factor -17h²jk²l m nn³
500
x= + or - 4
Solve using square root method x²-16=0
500
Zero (0)
What does a Quadratic Equation have to equal to?
500
(5a-4b)(5a+4b)
Solve 25a 16b4
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