solving trinomial equations with negatives x coefficient
DESCRIPTION
TRANSCRIPT
Example Slides
"Factoring Trinomials"
AIM: How do we solve Trinomial Equations
with negative Xs?example: 3x2 - 25x + 8 = 0
1
2
3
4
x2 + 5x + 6 = 0
x2
x
x x
x
x
1
1
1
1
1
1
(x + 2)(x + 3)= 0ANSWER: x = -2 or -3
SUM
MA
RY
Example 1
(x + 2)(x + 3)= 0
(x + 2)(x + 3)= 00•(x + 3) = 0 ?
(x + 2)(x + 3)= 00•(x + 3) = 0x + 2 = 0
x = -2
(x + 2)(x + 3)= 00•(x + 3) = 0
(x + 2)•0 = 0 ?
x + 2 = 0x = -2
(x + 2)(x + 3)= 00•(x + 3) = 0
(x + 2)•0 = 0
x + 2 = 0x = -2
x + 3 = 0x = -3
(x + 2)(x + 3)= 0
x = -2 or -3
0•(x + 3) = 0
(x + 2)•0 = 0
x + 2 = 0x = -2
x + 3 = 0x = -3
Example 2
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
Convert to Algebra TilesTry and make a rectangle
+x2
x -1 -1-1 -1-1 -1
x2 + x - 6
Convert to Algebra TilesTry and make a rectangle +x2 x
-1
-1
-1
-1
-1
-1
x2 + x - 6
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x
Convert to Algebra TilesTry and make a rectangle
+x2 x
-1-1
-1-1
-1-1
x2 + x - 6
x
-x
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x x -x
Convert to Algebra TilesTry and make a rectangle
+x2 x
-1-1
-1-1
-1-1
x2 + x - 6
x
-x
x
-x
Questions
Answer these questions in the Google Form
1. x + 6 = 02. x - 6 = 03. 5 + x = 04. -8 - x = 0
Answer these questions in the Google Form
+x2 x
-1-1
-1-1
-1-1
x
-x
x
-x
-1 -1 -1-x
5. What is the height these algebra tiles?
6. What is the width these algebra tiles?
7. What will the binomial multiplication be?
x2 + 7x + 12 = 08. What will this equation be in binomial multiplication form?
9. Find x. (What does x equal?)
x2 - 3x + 10 = 010. What will this equation be in
binomial multiplication form?
11. Find x. (What does x equal?)
x2 + 4x + 12 = 012. What will this equation be in
binomial multiplication form?
13. Find x. (What does x equal?)