Factoring Trinomials
Factor into two binomials: x2+8x+12
(x+6)(x+2)
What is Factoring?
To factor a number means to break it up into numbers that can be multiplied together to get the original number
Find the GCF: 3x2, 12x
3x
Factor by GCF: 14n2+10n
2n(7n+5)
Solve for x: 3x-7=11
x=6
Factor into two binomials: m2-11m+18
(m-9)(m-2)
What Is Vertex?
The common endpoint of two or more rays or line segments. Vertex typically means a corner or a point where lines meet.
Find the GCF: 4x3, 10x2
2x2
Factor by GCF: 18x3-6x
6x(3x2-1)
2x+8=5x-7
x=5
Factor into two binomials: x2+5x-24
(x+8)(x-3)
What Is Standard Linear Form?
y = mx + b
Find the GCF: 2x5, 9x4
x4
Factor by GCF: 8-4a2
4(2-a2)
Solve the system of equations by using substitution: 3y+2x=32; x=7
y=6
Factor into two binomials: y2-6y-7
(y-7)(y+1)
What Are Parallel Lines?
Parallel lines are lines in a plane that do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.
Find the GCF: 18x3, 32x2+6x
2x
Factor by GCF: 4x4+16x3-8x2
4x2(x2+4x-2)
What is the slope and y-intercept of the following line? y=5x-2
Slope=5 Y-Intercept=-2
Factor into two binomials: x2-13x-30
(x+2)(x-15)
What is a Quadratic Equation?
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.
Find the GCF: 12m4n3, 6m3n2, 24m2n4
6m2n2
Factor by GCF: 10a3b4-6a2b6
2a2b4(5a3-3b2)
Solve the system of equations by using elimination: 2x + y = 9; 3x – y = 16
x=5, y=-1