Factoring a trinomials to find the zeros of a function

The video tutorial covers solving graph problems, focusing on factoring quadratic equations. It begins with a review of basic graph problems and transitions into solving equations with X squared and X terms by factoring. Common student mistakes are highlighted, followed by an explanation of quadratic functions and diamond problems. The tutorial concludes with a detailed walkthrough of the factoring process and finding solutions.

What is the first step in solving a quadratic equation with an X squared and an X term?

• Divide both sides by 2

• Set the equation to zero

• Add 16 to both sides

• Multiply both sides by X

Why is it incorrect to add 16 to the other side when solving a quadratic equation?

• It makes the equation unsolvable

• It does not help in finding the roots

• It changes the equation to a linear form

• It is only applicable in Algebra 2

What is the quadratic function formula?

• X^2 + BX + C

• AX + B = C

• AX^2 + BX = C

• X^2 - BX + C

In the diamond method, what do the top and bottom numbers represent?

• Top is subtraction, bottom is division

• Top is multiplication, bottom is addition

• Top is division, bottom is subtraction

• Top is addition, bottom is multiplication

What is the purpose of rewriting a quadratic equation as a product of factors?

• To simplify the equation

• To find the roots of the equation

• To eliminate the X term

• To convert it into a linear equation

If a * b = 0, what can be inferred about a and b?

• Both a and b must be non-zero

• Either a or b must be non-zero

• Either a or b must be zero

• Both a and b must be zero

What are the possible number of solutions for a quadratic equation?

• One, two, or none

• One, two, or three

• One, three, or none

• Two, three, or four