Solve by factoring when a is greater than one

The video tutorial explains how to solve quadratic equations by factoring, focusing on a method that involves guess and check. It highlights the importance of understanding the factoring process and provides a step-by-step guide to factor equations, especially when the coefficient A is negative. The tutorial also covers breaking down factors, finding the middle term, and applying the zero product property to find solutions.

What is the first step when using the guess and check method for factoring a quadratic equation with a negative leading coefficient?

• Add a constant to both sides

• Factor out the negative coefficient

• Multiply the equation by a positive number

• Use the quadratic formula

When breaking down the quadratic equation, what must the factors of the constant term also do?

• Be prime numbers

• Add up to the coefficient of the linear term

• Be equal to the coefficient of the quadratic term

• Multiply to give zero

Which of the following is a possible factorization of the quadratic equation 3x^2 + 10x - 8?

• (3x - 4)(x + 2)

• (3x + 4)(x - 2)

• (3x - 2)(x + 4)

• (3x + 2)(x - 4)

What property is applied after obtaining the factored form to find the solutions of the quadratic equation?

• Distributive Property

• Zero Product Property

• Commutative Property

• Associative Property

What is the solution to the equation after applying the zero product property to the factored form (3x - 2)(x + 4)?

• x = 2/3 and x = -4

• x = -2/3 and x = 4

• x = 3/2 and x = -4

• x = -3/2 and x = 4