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

Last updated almost 4 years ago

12 questions

10

A.APR.1

A.SSE.1.a

10

A.SSE.1.a

8

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

Last updated almost 4 years ago

12 questions

10

A.APR.1

A.SSE.1.a

4

10

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

(3x + 1)
(3x + 5)
(2x + 1)
(3x + 2)

6x² + 13x + 5

A.APR.1

A.SSE.1.a

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?

A.SSE.1.a

4

10

Problem 2 Got It?

A.APR.1

A.SSE.1.a

10

Problem 3 Got It?

A.APR.1

A.SSE.1.a

8

Take Note: Match each expression with its GCF monomial.

Draggable item		Corresponding Item
24x^{2}-16x+2		6x
12x^{2}-6x		4

10

Problem 4 Got It?

A.APR.1

A.SSE.1.a

10

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

10

A.APR.1

A.SSE.1.a

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

(3x + 1)
(3x + 5)
(2x + 1)
(3x + 2)

6x² + 13x + 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?

10

Problem 2 Got It?

A.APR.1

A.SSE.1.a

10

Problem 3 Got It?

A.APR.1

A.SSE.1.a

Take Note: Match each expression with its GCF monomial.

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

10

Problem 4 Got It?

A.APR.1

A.SSE.1.a

10

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

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?

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?

1

2

3

10

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?

One of the factors of ac is positive and the other is negative.

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?

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?

A

B

C

D

A

B

C

D

18x^{2}-33x+12

3

12x^{2}-6x+4

2

A

B

C

D

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?

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?

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?

1

-1

5

-5

9

-9

45

-45

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?

4

-4

10

-10

14

-14

35

-35

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

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

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

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?

Problem 2 Got It?

Problem 3 Got It?

Take Note: Match each expression with its GCF monomial.

Problem 4 Got It?

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

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+2What two numbers have a product of 10 and a sum of 11?

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

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?

Problem 2 Got It?

Problem 3 Got It?

Take Note: Match each expression with its GCF monomial.

Problem 4 Got It?

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

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?

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+5What two numbers have a product of 30 and a sum of 13?

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-15What two numbers have a product of -45 and a sum of 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-14What two numbers have a product of -140 and a sum of 31?

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?

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?

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?

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?

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?

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?

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?