Solve by factoring when a is greater than one

The video tutorial explains how to factor quadratic equations by breaking down the factors of the coefficients and using the zero product property to find solutions. It emphasizes the importance of identifying the greatest common factor (GCF) and using a guess and check method to determine the correct factor combinations. The tutorial also highlights the need to consider the signs of the terms to ensure the middle term matches the equation's requirements.

What is the first step in factoring a polynomial when the leading coefficient is greater than one?

• Set the polynomial equal to zero.

• Multiply all terms by the leading coefficient.

• Break the polynomial into two parts.

• Factor out the greatest common factor (GCF).

When breaking down a polynomial, what should the output value be set to?

• The leading coefficient

• 1

• The constant term

• 0

Why is it important to consider the sign of the middle term when factoring?

• To determine the sign of the constant term.

• To decide if the factors should be positive or negative.

• To find the greatest common factor.

• To simplify the polynomial.

Which factor combination was found to be correct in the video?

• 6X and 1

• 10X and 2X

• 3X and 2X

• 5X and 4X

What property is applied after finding the correct factor combination to solve the equation?

• Commutative Property

• Zero Product Property

• Associative Property

• Distributive Property

What is the result of multiplying 3X by 2X in the correct factor combination?

• 5X^2

• 4X

• 6X^2

• 6X

What is the sum of the middle terms in the correct factor combination?

• -8X

• -23X

• -20X

• -15X