Convert Factored Form with GCF Quadratic to Standard Form Equations

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Convert to Standard Form:

f(x) = (x+7)(x-3)

• f(x) = x² +10x +21

• f(x) = x² -10x -21

• f(x) = x² +4x -21

• f(x) = x² +4x +21

The first step in solving quadratic equations is to . . .

• factor

• write the equation in standard form

• use quadratic formula

• graph

Solve for x by factoring.

• -6, -2

• -2, 6

• 2, 6

• -6, 2

The factored form of a quadratic equation is (x +2)(x + 3). Which shows this equation in standard form?

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

Turn the following quadratic function from standard form into factored form:

y = x² - 10x + 25

• y= (x + 5) (x - 5)

• y = (x - 15) (x + 10)

• y = (x + 5) (x - 20)

• y = (x - 5) (x - 5)

Change the quadratic equation from factored form to standard form:

Now, take the factored form and write it in Standard Form (ax²+bx+c=0) by double distributing (or FOIL).

-(x-6)(x-8)=0

• x²+2x-15=0

• -x²+14x -48=0

• - x²+8x-15=0

• x² + 5x -16=0

Change the quadratic equation from factored form to standard form:

(x + 4)(x - 2)

• x² + 2x - 8

• x² -5x + 6

• 6x²+ 6

• x² + x - 6

Change to standard form:

y=(x-3)(x-5)

Mathematical Equivalence

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