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5.3 Combined to be edited
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Terms in this set (67)
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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]
"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
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
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
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
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