A 8-4
AStd5a: I can rewrite quadratic equations in factored form given the standard form.
Step 1
Step 2
Step 3
2
Step 4
3x 2 + 7x + 2
3x + 7x + 2
3x 2 + 7x + 2
Step 1
Step 2
Step 3
Step 4
Factor.
1.
3x 2 + 4x +1 =
2.
3x 2 +10x + 3 =
3.
A 8-4
AStd5a: I can rewrite quadratic equations in factored form given the standard form.
Step 1
Step 2
Step 3
2
3x 2 +13x + 4 =
Step 4
3x 2 + 7x + 2
3x + 7x + 2
3x 2 + 7x + 2
Step 1
Step 2
Step 3
Step 4
Factor.
1.
3x 2 + 4x +1 =
2.
3x 2 +10x + 3 =
3.
3x 2 +13x + 4 =
A 8-4 Name_____________________________BDFM?_________Why?____________________________________
AStd5a: I can rewrite quadratic equations in factored form given the standard form.
Factor.
1.
2x 2 + 3x +1 =
2.
2x 2 + 5x + 2 =
3.
2x 2 + 7x + 3 =
4.
2x 2 + 9x + 4 =
5.
2x 2 +11x + 5 =
6.
2x 2 + 4x + 2 =
7.
2x 2 + 5x + 3 =
8.
2x 2 + 6x + 4 =
9.
2x 2 +13x + 6 =
10.
2x 2 −13x + 6 =
11.
2x 2 −11x − 6 =
12.
2x 2 +11x − 6 =
14.
4(x 2 − x − 6)
15.
5(x 2 + 2x −15)
17.
4x 2 − 4x − 24
18.
5x 2 +10x − 75
Multiply
13.
2(x 2 + 6x + 9)
Factor out.
16.
2x 2 +12x +18
19.
2x 2 + 24x + 22
20.
2x 2 −16x +14
21.
3x 2 − 9x − 30
22. Refer back to #19.
a. Find the factored form of #19 before you factored out.
b. Find the factored form of #19 after you factored out.
23. Refer back to #20.
a. Find the factored form of #20 before you factored out.
b. Find the factored form of #20 after you factored out.
24. Refer back to #21.
a. Find the factored form of #21 before you factored out.
b. Find the factored form of #21 after you factored out.
25. Without factoringhich quadratic expressions below may have more than one factored form? Explain your
reasoning.
a.
3x 2 −18x + 27
b.
x 2 −11x +111
c.
−4x 2 −12x − 8
d.
3x 2 + 3x −12