Algebra 1 8-5 Guided Practice: Factoring x² + bx + c
By Matt Richardson
Last updated about 2 years ago
22 Questions
10
1.
Solve It! The area of a rectangular solar panel is given by the trinomial below.
The height of the solar panel is given by the binomial below.
What is an expression for the length of the panel?
A.SSE.1.a
2
2.
Take Note: Which pair have a product of 15 and a sum of 8? Select two.
2
3.
Take Note: Which pair have a product of 12 and a sum of 7? Select two.
2
4.
Take Note: Which pair have a product of 12 and a sum of 13? Select two.
10
5.
Take Note: Which steps are involved in factoring the trinomial?
x^{2}+5x+6
Select all that apply.
8
6.
Identify the First, Outer, Inner, and Last terms in the expression.
Each term belongs in two categories.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
(2x+5)(3x-1)
- 2x
- 5
- 3x
- -1
- F - First
- O - Outer
- I - Inner
- L - Last
10
7.
Consider the equation below and fill in the blanks.
(x+2)(x+3)=x^{2}+5x+6
x^2 is the product of the __________ terms of the binomial factors.
3x is the product of the __________ terms of the binomial factors.
2x is the product of the __________ terms of the binomial factors.
5x is the __________ of the outer and inner products, 3x and 2x.
6 is the product of the __________ terms of the binomial factors.
10
8.
Problem 1 Got It?
A.SSE.1.a
2
9.
Take Note: Which pair have a product of 15 and a sum of -16? Select two.
2
10.
Take Note: Which pair have a product of 12 and a sum of -8 Select two.
2
11.
Take Note: Which pair have a product of 12 and a sum of -13 Select two.
10
12.
Problem 2 Got It? What is the factored form of the expression?
A.SSE.1.a
10
13.
Problem 2 Got It? Reasoning: Can you factor the expression? Explain.
A.SSE.1.a
2
14.
Take Note: Which pair have a product of -6 and a sum of -1? Select two.
2
15.
Take Note: Which pair have a product of -6 and a sum of 1? Select two.
2
16.
Take Note: Which pair have a product of -6 and a sum of -5? Select two.
2
17.
Take Note: Which pair have a product of -6 and a sum of 5? Select two.
10
18.
Problem 3 Got It?
A.SSE.1.a
10
19.
Problem 3 Got It?
A.SSE.1.a
10
20.
Problem 4 Got It?
A.SSE.1.a
10
21.
Problem 5 Got It?
A.SSE.1.a
10
22.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?