67 terms

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what do you use to solve quadratics when factoring?

roots or zeros

The solutions are called the roots, or zeroes

True

When solving quadratics by factoring you must put the problem in standard form equal to zero.

True

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what is the first step in solving quadratics by factoring

Put in standard form equal to zero make sure a>0

what is the last step in solving quadratics by factoring

use zero product property to solve

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What is the solution to a quadratic called

Roots or Zeros

What can you use to solve a quadratic equation by factoring

The zero product property

g^2+3g-40

Factor it.

5x^2-8x-4

Factor it.

x^2-20x+100

Factor it.

6p^2+17p+12

Factor it.

15x^2-2=-7x

Solve and sketch.

What do you do when you solve a quadratic?

You use the Zero Product Property to find the answer.

How do you factor out 20x^2 + 5x?

You divide both each term by 5x to get: 5x(4x + 1)

How can you use a calculator to find factors of 148?

1. Press [Y=] on top of calculator

2. Go down to [\Y1=] and type in [148/x]

3. Press [2nd] + [Graph]

*If there is a problem with the calculator:

- Press [2nd] + [Window]

- Go to [TblStart=] and [Tbl=] and enter [1] for each

- Put both [Indpnt:] and [Depend:] on [Auto]

2. Go down to [\Y1=] and type in [148/x]

3. Press [2nd] + [Graph]

*If there is a problem with the calculator:

- Press [2nd] + [Window]

- Go to [TblStart=] and [Tbl=] and enter [1] for each

- Put both [Indpnt:] and [Depend:] on [Auto]

"If AB=0, then A=0 or B=0" is the:

Zero Product Property

When factoring a level 2 quadratic, what is the first step that you should take?

Factor out the common parts.

What are roots or zeroes used for?

to solve quadratics while factoring

What's the first step in factoring a Level 2 quadratic?

Factor out any common parts

What's a Level 3 Quadratic?

When x cannot be factored out

What are "roots" or "zeroes?"

The solutions to the quadratic

what do you use to solve quadratics when factoring?

roots or zeros

what level quadratic is it when a is not equal to one and can not be factored?

Level 3

AB=0 then A=0 or B=0 is the

zero product property

What is the zero product property?

if AB=0, then A=0 or B=0

What are the solutions of a quadratic called?

roots, or zeroes

What are the zeroes used for on the graph of a parabola?

they are the x intercepts

First step in solving by factoring?

multiply

second step in solving by factoring?

factor

Zero Product Property?

if AB = 0 then A = 0 Or B =0

What is the Zero Product Property

if AB=0, then A=0 or B=0

What are the solutions called?

The roots, or zeroes

You put an Quadratic Equation in standard from equal to what?

Zero

What is the zero product property?

If AB=0, then A=0 or B=0

Solutions are called the roots or _______?

Zeroes

What is the equation to find the axis of symmetry?

y=-b/2a

When the sign before "c" is negative, what does it mean?

The numbers that are being used to factor will have different signs

Will the bigger number have the same sign as "b" or "a"?

It will have the same sign as "b"

What property is used to solve quadratics?

The zero product property

How can the solution of a quadratic problem be checked?

Substitute the variables with the solutions and check if equation equals 0.

What is the rule for Zero Product Property?

If AB=0, then A=0 or B=0

If the "a" value in ax^2+bx+c is positive, which way will the parabola open up?

Up

Factoring

To break numbers up so that it could be multiplied together to get the original number

Zero Product Property

If AB=0, then A=0 or B=0

Roots

Solutions of factored quadratics

FOIL

Method commonly used to factor quadratics

zero product property

if ab = zero, then a= zero or b= zero

y= (x+/- #) , (x+/- #) = 0

zeros

when solving quadratics by factoring the solutions are called roots, or

zeroes

a level 3 quadratic is when

a is not equal to one and cannot be factored

the zero product property states

if AB=0 then A=0 or B=0

What does the Zero product property conclude?

If AB=0, then A=0 or B=0

What are the 4 steps in solving quadratics by factoring?

-The solutions are called the roots or zeros y=0

-Out in standard form equal to zero, make sure a > 0

-Factor

-Use zero product property to solve

-Out in standard form equal to zero, make sure a > 0

-Factor

-Use zero product property to solve

What is the trick in the calculator to solve without making your own table?

-push the 2nd Key and push F1

-put c/x

-push the 2nd Key again and then push F5

-put c/x

-push the 2nd Key again and then push F5

How do you solve a quadratic?

Factor and then make all of the parts equal zero

What is the zero product property?

If AB=0 then A or B= 0

What is the solution of a quadratic called?

Roots or zeros

What is the Zero Product Property?

If AB=0, then A=0 or B=0.

What is the first step when solving this quadratic?

3y=-y²+28

3y=-y²+28

Get all of the terms on one side of the =

Is it possible to have only one answer when factoring quadratics?

Yes

What is the first step in solving a quadratic by factoring

Set the equation equal to zero

What is one technique you can use if a quadratic seems unfactorable

Multiply A and C and then factor