Algebra 1 8-6 Guided Practice: Factoring ax² + bx+ c
By Matt Richardson
Last updated about 2 years ago
12 Questions
10
1.
Solve It! An array of three rectangular solar panels has the area below:
The height of the array is x + 3. What is the length of the array?
A.SSE.1.a
A.APR.1
4
2.
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
5x^{2}+11x+2
What two numbers have a product of 10 and a sum of 11?
4
3.
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
6x^{2}+13x+5
What two numbers have a product of 30 and a sum of 13?
10
4.
Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.
- (2x + 1)
- (3x + 2)
- (3x + 5)
- (3x + 1)
- 6x² + 13x + 5
A.SSE.1.a
A.APR.1
10
5.
Problem 1 Got It? Reasoning: Consider the trinomial below.
Suppose ac is positive and b is negative. What do you know about the factors of ac?
A.SSE.1.a
4
6.
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
3x^{2}+4x-15
What two numbers have a product of -45 and a sum of 4?
4
7.
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
10x^{2}+31x-14
What two numbers have a product of -140 and a sum of 31?
10
8.
Problem 2 Got It?
A.SSE.1.a
A.APR.1
10
9.
Problem 3 Got It?
A.SSE.1.a
A.APR.1
8
10.
Take Note: Match each expression with its GCF monomial.
| arrow_right_alt | 6x | |
| arrow_right_alt | 4 | |
| arrow_right_alt | 3 | |
| arrow_right_alt | 2 |
10
11.
Problem 4 Got It?
A.SSE.1.a
A.APR.1
10
12.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?