Algebra 1 8-6 Guided Practice: Factoring ax² + bx+ c

Last updated over 3 years ago
12 questions
10

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?

4

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

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

Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.

  • (3x + 5)
  • (3x + 1)
  • (3x + 2)
  • (2x + 1)
  • 6x² + 13x + 5
10

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?

4

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

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

Problem 2 Got It?

10

Problem 3 Got It?

8

Take Note: Match each expression with its GCF monomial.

Draggable itemCorresponding Item
12x^{2}-6x
6x
12x^{2}-6x+4
4
18x^{2}-33x+12
3
24x^{2}-16x+2
2
10

Problem 4 Got It?

10

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?