Simplify Complex Rational Functions

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

What is the purpose of partial fraction decomposition?

• To make rational functions more difficult to solve

• The purpose of partial fraction decomposition is to simplify and solve rational functions by breaking them down into simpler fractions.

• To complicate and confuse rational functions

• To add unnecessary steps to solving rational functions

How do you apply partial fraction decomposition in real-life scenarios?

• Partial fraction decomposition can be used in engineering, physics, and economics to simplify complex equations and make them easier to solve.

• Partial fraction decomposition is used in cooking to create new recipes

• Partial fraction decomposition is applied in agriculture to improve crop yield

• Partial fraction decomposition is used in fashion design to create new clothing patterns

SIMPLIFY

• A

• B

• C

• D

(a)  

• F

• G

• H

• J

Mathematical Equivalence

OFF

Simplify the following expression:

• A

• B

• C

• D

• A
• B
• C
• D

What is the process of decomposing a rational function into partial fractions?

• Adding the rational function to a whole number

• Converting the rational function into an improper fraction

• Breaking down the rational function into simpler fractions

• Multiplying the rational function by a common denominator