Factoring Quadratics in Algebra 2

This video tutorial covers factoring quadratic expressions where the leading coefficient is not 1, using a specific method that involves multiplying the leading coefficient and constant term, factoring as usual, and then dividing by the leading coefficient. It also explores special cases such as perfect square trinomials and the difference of squares, providing step-by-step examples to illustrate these concepts.

What is the first step in the factoring method when coefficient 'a' is not 1?

• Divide 'a' by 'c'

• Multiply 'a' with 'c'

• Add 'a' and 'c' together

• Subtract 'c' from 'a'

What should you always check for before starting the factoring process?

• Least common multiple

• Greatest common factor

• Difference of squares

• Perfect square trinomial

In the example, after multiplying 2 by the last term, what is the new expression for factoring?

• 2x^2 + 11x + 24

• x^2 + 11x + 24

• 2x^2 + 11x + 12

• x^2 + 11x + 12

What is the result of factoring the expression x^2 + 11x + 24?

• (x + 24)(x + 1)

• (x + 12)(x + 2)

• (x + 4)(x + 6)

• (x + 8)(x + 3)

What defines a perfect square trinomial?

• a^2 - ab + b^2

• a^2 + 2ab + b^2

• a^2 + ab + b^2

• a^2 - 2ab + b^2

How do you factor a perfect square trinomial?

• (a + b)^2

• (a + b)(a - b)

• Cannot be factored

• (a - b)^2

What is the result of factoring 4x^2 + 12x + 9?

• (2x - 3)^2

• (2x + 3)^2

• (4x + 3)(x + 3)

• (4x + 9)(x + 1)

What is the factored form of x^2 - 64?

• (x + 8)(x - 8)

• (x + 64)(x - 64)

• (x - 8)^2

• (x + 8)^2

What is the formula for the difference of two squares?

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)^2

• a^2 + b^2 = (a + b)(a - b)

• a^2 - b^2 = (a - b)^2

How do you recognize a difference of two squares?

• Two terms squared and subtracted

• None of the above

• Two terms squared and added

• A single squared term