Module 3: DBA

Polynomial Long Division

100

Divide x²-3x-10 by x+2

x-5

200

Divide x³+7x²+7x-6 by x+2

x²+5x-3

300

Divide x³-2x²-25x-50 by x+5

x²-3x-10

400

Divide 3x⁴-5x²-28 by x+2

3x³−6x²+7x−14

500

Divide 20y³+23y²-13y+9 by 5y²-3y+2

4y+7

Find the Zeros

100

f(x)=x²+x-20

x= -5,4

200

f(x)=-x²-6x-9

x= -3

300

f(x)=2x²+18x+28

x= -2,-7

400

f(x)=x³-4x²-9x+36

x=4,-3,3

500

f(x)=(x²-9x+14)/(4x)

x=7,2

Are they Even, or odd, or neither?

100

𝑓(𝑥) = 𝑥³+ 4x

Odd

200

𝑓(𝑥) = −𝑥 ³ + 5𝑥 − 2

Neither

300

𝑓(𝑥) = 𝑥 ³ − 𝑥 ² + 4𝑥 + 2

Neither

400

𝑓(𝑥) = |𝑥| + 4

Even

500

𝑓(𝑥) = 𝑥√(𝑥 ² − 1)

Odd

Polynomial Transformations

100

Describe the transformation g(x)=(x-5)⁴ 

5 units right

200

Describe the transformation f(x)=(x-1)²+2

Right 1 and up 2

300

Describe the transformation y=f(x+2)-4

2 units left and 4 units down

400

f(x)=-(x-2)²-2

down 2, right 2 and reflected across the x axis

500

f(x)=-4(x+3)⁴+7

7 up, 3 left, and reflected across the x-axis

Random

100

What does the "zeros" of the graph mean?

Where the line crosses the x-axis.

200

What is a function to the fourth degree called?

a quartic

300

What is a theorem?

A statement proven by experimentation

400

What does DMSBR stand for in long division?

Divide, multiply, subtract, bring down, repeat

500

What is the Difference of Square?

 x²−y²=(x−y)(x+y)