Factoring Quadratics 📊

Interactive Tutorial • Practice Problems • Speed Quiz

What is Factoring? 🕵️‍♂️

    Factoring a **quadratic expression** is the reverse of multiplying polynomials. It means breaking a quadratic equation of the form $ax^2 + bx + c$ into a product of two simpler expressions, usually binomials like $(x+p)(x+q)$.

    This skill is essential for solving quadratic equations and simplifying complex algebraic expressions. Pay close attention to the video, as it will visually guide you through the process of finding the right numbers.

 
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Video: Factoring Quadratics 🎬

This video will walk you through factoring a basic trinomial and a difference of squares. Make sure to turn on the captions to follow along with the audio!

   
   
     
 
     
 
     

Practice Problems

Factor the expressions below. Enter your answers in the form (x+p)(x+q). Order does not matter.

   
       
1) Factor:
$x^2 + 7x + 12$
       

Answer:

       
       
   
   
       
2) Factor:
$x^2 - 16$
       

Answer:

       
       
   
   
       
3) Factor:
$x^2 - 2x - 8$
       

Answer:

       
       
   
   
       
4) Factor:
$2x^2 + 10x + 12$
       

Answer:

       
       
   

⚡ Factoring Speed Quiz

       
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