Name: Knowunity
Brand: Knowunity

English (US)

Explains how to solve for the x intercepts of a quadratic function via the factoring method and provides examples.

https://content-eu-central-1.knowunity.com/CONTENT/zPBVFEWqRqaPESGnHozp_COMPRESSED.pdf

zPBVFEWqRqaPESGnHozp

Study note

Ansley Miller

United States of America

DEFAULT (US)

DEFAULT

Algebra 1

Algebra 2

Factoring (with quadractic equations)

Factoring

Factoring quadratics by grouping

7
7
a
3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
factoring
(1) (K + 1) (K-5)=0
1+1=0 15-5=0
Quadratic equations.
2) (4K + 5) (k+1)
4(-5)+5=0 -1+1=0
Factoring: Leading coefficient 1
3) x²-11x +19-5
+5 +5
X²-11x + 24 =0
(x-3)(x-8)
X intercepts: [-1,5]
what will it take to make it
equivalent to 0?
X intercepts: [-]
·3x 8 = 24 (C)
² -3 + 8 = -11 (b)
X intercepts: [38]
Factoring: Leading Geffecient NOT 1
4) 2x²-3x-2
1. multiply "a" and "c" (2x - 2) = -4
O
-4--4
-4+1=-3 (b)
2x²-4x+1x-2
2. Split the equation.
(2x² +1x) (-4x-2)
3. Find GCF
V
A
14
22
24
ZV
124
2 12
38
46
X (2x+1) -2 (2x + 1)
4. Group GCFS and factors (should be the same)
↓
(x-2)
(2x + 1) = 0
2
(
Factoring
completing the Square
1. clear c position
2. (2) ²divide b by 2 and square.
X intercepts: [2]
3. Place result in a position (do same thing to other side)
44. Factor both sides
5. Square root both sides
6.Solve for X (2 Solutions : ±)
✓ 5) X² +4X-6=0
+6
+6
x² + 4x = 6
:
x² + 4x + 4 = 6 +4
x² + 4x +4=10
2x2=4
→(4)² =4
4
22
2+2=4
V
(X+2)(x+2) = 10
V
(x + 2)² = 10
✓
√(x + 2)² = √10
(x+2) = √TO-2
1-2 ↓
X = -2-√TO = 1.16
or
X = -2+√105.16
X intercepts: [1.16 5.167

Factoring (with quadractic equations)

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

13 M

#1

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I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

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Love this App ❤️, I use it basically all the time whenever I'm studying

Factoring (with quadractic equations)

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

13 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying