1. Q2
Complete the worksheet on your desk.

2. Q2

4. Tutoring: Tuesday 4/16/19

5. I can factor quadratic equations using the x-box factoring method
Today’s Objective:
I can factor quadratic equations
using the x-box factoring method

7. Quadratic Equation:
a polynomial with 3 terms and the largest exponent is 2.
It’s graph is a parabola.
Its standard form is written: y = ax2 + bx + c

8. Factoring quadratic equations:
Take out all gcf if there are any.
Make sure the leading coefficient is positive.
If it is negative, factor out a -1.
3. Make and label a large X.

9. List all factors of a*c here:
ax2 + bx + c:
3x2 -10x + 8
Step 1: Draw an X.
Step 2: Fill the bottom of the x with the “b” number and the top with the product of a*c.
3*8 = 24
List all factors of a*c here:
a*c
1, 4
2, 12
3, 8
4, 6 b
-10

10. List all factors of a*c here: List all factors of a*c here:
ax2 + bx + c:
3x2 -10x + 8
Determine the signs:
If ac is +; the signs are
the same (either both +
or both -)
Then look at b.
If b is -, you know that
Both a & c are -.
3*8 = 24
List all factors of a*c here:
List all factors of a*c here:
a*c
1, 4
2, 12
3, 8
4, 6 b
-10
If ac is -, then you know either a is – or c is -. Look at b. The sign of the same as the digit.

11. And one factor goes here. List all factors of a*c here:
ax2 + bx + c:
3x2 -10x + 8
And one factor goes here.
3*8 = 24
List all factors of a*c here:
List all factors of a*c here:
a*c -8
1, 4
2, 12
3, 8
4, 6 -2 b
-10
One factor goes here.

12. ax2 + bx + c:
3x2 -10x + 8
3*8 = 24
a*c -8 -2 b
-10
(x )
(x )
(x )
(x )

13. Find Solutions: 3x2 -10x + 8 (x - 2 ) = 0 x = 2 3*8 = 24 (x - 8 ) = 0
a*c
x = 8 b
-10
(x )
(x )

15. Factor; then find the solutions.
m2 + 8m + 7
(m + 7) (m + 1)
m = -7; m = -1

16. Factor; then find the solutions.
x2 -9x+ 20
(x-4) (x-5)
x = 4; x = 5

17. Factor; then find the solutions.
2x2 + 24x + 40
2(x+10) (x+2)
x = -10; x = 2

18. Factor; then find the solutions.
15t2 + 7t - 2
(3t + 2) (5t - 1)
t= −𝟐 𝟑 ; t = 𝟏 𝟓

19. finish missing assignments.
Use this time wisely to
finish missing assignments.