Factored Form with GCF Quadratic to Standard Form Equations

(x + 2)(x - 3) = 0

• x = -2 and 3

• x = 2 and 3

• x = -2 and -3

• x = 2 and -3

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

• f(x) = x² + 3x -10

• f(x) = (x + 5)(x - 2)

• f(x) = (x - 5)(x + 2)

• f(x) = (x + 1.5)² - 12.25

Factor
k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

What is the first step in solving

(x + 2)(x - 3) = 0 ?

• Plug in zero for x

• Combine like terms

• FOIL

• Set each binomial factor equal to zero

Factor: x² - x -12

• (x - 4)(x + 3)

• x = 4 and -3

• (x - 3) (x + 4)

• x = 3 and -4

What do you have to check FIRST before you can start factoring?

• If there is a GCF

• What the a value is

• All terms are combined

• Zero Product Property

When solving a quadratic, why must equations be set equal to zero?

• Zero is an easy number to work with

• We are trying to find the x-intercepts which is where y = 0.

• We are trying to find the y-intercepts which is where x = 0

• None of the above

Change the quadratic equation from factored form to standard form:

(x + 3)(x - 2)

• x² + 6x + 5

• x² -5x + 6

• 6x²+ 6

• x² + x - 6

Change the quadratic equation from factored form to standard form:

• x² + 6x + 5

• x² +11x + 30

• x²+ 30x+11

• x² + x - 6

Change the quadratic equation from factored form to standard form:

• x² + 1x - 6

• x² +1x + 6

• x² - 1x - 6

• x² + 2x - 6