Module 4 Review
Leading Coefficient: -2
Multiply: x2(2x+9)
2x3+9x2
Multiply x(x+1)y
x2y+xy
Multiply: (x+1)(x+1)
x2+2x+1
Multiply: (x+3)(x2-2x+1)
x3+x2-5x+3
What is the end behavior of
f(x)=3x2-2x8+3x3-9x4-10x+9
As x goes to negative infinity, f(x) goes to negative infinity.
As x goes to infinity, f(x) goes to negative infinity.
Multiply: (b+4)2
b2+8b+16
Multiply 2x(4x3+5x2-x-7)
8x4+10x3-2x2-14x
Multiply: (x+5)(x-4)
x2+x-20
Multiply: (x-1)(x2+2x-4)
x3+x2-6x+4
A set of data has the following R2 values for different regressions. Which regression model would be the best?
Linear model: R2=0.99
Quadratic model: R2=0.9909
Cubic model: R2=0.992
Quintic model: R2=0.9908
The Cubic model would be the best, because its R2 value is closest to 1.
Multiply: (g3-h)(g3+h)
g6-h2
Terrific Triple!!! ***The team that chose this can earn triple points if they get this correct.***
Multiply: (3a+5)(a-7)(4a+1)
12a3-61a2-156a-35
Multiply: (3x+2)(x-3)
3x2-7x-6
Multiply: (x-2)(2x2+3x+1)
2x3-x2-5x-2
What is the end behavior of the g(x)?
g(x)=-8x11
As x goes to negative infinity, f(x) goes to positive infinity.
As x goes to positive infinity, f(x) goes to negative infinity.
Multiply: 0.25g2(8g+12h-16gh2)
2g3+3g2h-4g3h2
Simplify: 5xy(2x-y)+6y2(x2+6)
10x2y-5xy2+6x2y2+36y2
Terrific Triple!!! ***The team that chose this can earn triple points if they get this correct.***
Multiply: -6y(x+y)(x+y)
-6x2y-12xy2-6y3
Multiply: -2(3x-5y)(3x2-4x-5)
-18x3+24x2+30x+30x2y-40xy-50y
Identify all consecutive whole number integer intervals of x where there is a zero for g(x).
g(x)=9x5-9x4-3x3+2x+0.5
Intervals:
x=-1 and x=0
x=0 and x=1
x=1 and x=2
Multiply: 5x(a+b)(4x+3y)
20ax2+15axy+20bx2+15bxy
Multiply: (3z-2)3
27z3-54z2+36z-8
Multiply: x(x-6)(2x+1)
2x3-11x2-6x
Multiply: 5a(x-4y)(x2+xy-y)
5ax3-15ax2y-5axy-20axy2-20ay2