Algebra Factoring Methods Quiz

Which of the following methods is NOT mentioned as a way to factor a trinomial in the video?

• Product Sum Method

• Synthetic Division

• Completing the Square

• Quadratic Formula

What is the first step in using the quadratic formula to solve x^2 - x - 12?

• Identify the coefficients a, b, and c

• Graph the equation

• Use the product sum method

• Complete the square

What is the value of the discriminant (b^2 - 4ac) for the equation x^2 - x - 12?

• 49

• 25

• 36

• 16

In the product sum method, what is the product of the coefficients a and c for the equation x^2 - x - 12?

• -12

• 12

• -1

• 1

Which pair of numbers multiplies to -12 and adds to -1 in the product sum method?

• -6 and 2

• 6 and -2

• -3 and 4

• 3 and -4

What is the first step in completing the square for the equation x^2 - x - 12?

• Move the constant term to the other side

• Factor the equation

• Use the quadratic formula

• Graph the equation

What value is added to both sides of the equation when completing the square for x^2 - x = 12?

• 1/2

• 3/4

• 1/4

• 1

When graphing the equation x^2 - x - 12, what are the x-intercepts?

• x = -6 and x = 2

• x = -2 and x = 6

• x = -4 and x = 3

• x = -3 and x = 4

Which calculator function helps find the x-intercepts when graphing?

• Derivative

• Y-Intercept

• Second Calc

• Integral

What is the advantage of using the graphing method to solve x^2 - x - 12?

• It is the fastest method

• It requires no calculator

• It visually shows where the roots are

• It provides an exact algebraic solution