Factoring trinomials when a is greater than 1 then solving 2x^2 -6x +4 , -3x^2 -10x +8=0

The video tutorial covers factoring techniques when A is greater than one, emphasizing the importance of identifying the greatest common factor (GCF) first. It explains the process of factoring trinomials into binomials and solving quadratic equations by finding their roots. The tutorial also addresses common mistakes students make and introduces advanced factoring techniques for cases where A is greater than zero.

What is the first step in the factoring process when A is greater than one?

• Extract the greatest common factor

• Identify the roots

• Use the quadratic formula

• Apply the FOIL method

Which method is used to factor a trinomial into two binomials?

• Synthetic division

• Completing the square

• a * c method

• Quadratic formula

How can you verify if your factoring of a trinomial is correct?

• By using the FOIL technique

• By graphing the equation

• By using the quadratic formula

• By checking the discriminant

What are the solutions of a quadratic equation often referred to as?

• Coefficients

• Roots

• Intercepts

• Vertices

Why is factoring important in solving quadratic equations?

• It simplifies the equation

• It helps find the roots

• It eliminates variables

• It reduces the degree of the polynomial

What common mistake do students make when factoring equations?

• Ignoring the constant term

• Not using the quadratic formula

• Forgetting to check their work

• Incorrectly setting up the factors

In the example walkthrough, what is the final step after factoring out common terms?

• Solve for the variable

• Check the discriminant

• Graph the equation

• Use the quadratic formula