Factor Rationals

Simplify 

• (x+7)/(x-4)

• -3/4

• (x+3)/(x+4)

• (x+3)/(x-4)

Simplify (x² - 7x + 10) / (x² - 8x + 15)

• (x - 5) / (x - 1)

• (x + 5) / (x + 1)

• (x - 2) / (x - 3)

• (x + 2) / (x + 3)

Simplify (x² - 25) / (x² + 4x - 5)

• (x - 5) / (x - 1)

• (x + 5) / (x + 1)

• (x - 2) / (x - 3)

• (x + 2) / (x + 3)

• 2

• 7

• 3

• 0

• -2

• A
• B
• C
• D

• A
• B
• C
• D

How do we know if we have a Vertical Asymptote.

• From BOBO BOTN EATS DC

• It is created by a factor that does not get canceled out.

• We do synthetic division.

• It is created by a factor that gets canceled out.

We determine a hole in a graph by:

• Using the x value from the factor that didn't cancel out.

• Using BOBO BOTN EATS DC

• Taking the x value of the POD factor, that canceled, and plugging it into our simplified version of our rational function.

• We divide the coefficients.

This rational function is a

• BOBO

• BOTN

• EATS DC

• Linear

This rational function is a:

• BOBO

• BOTN

• EATS DC

• Linear