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

Posljednje ažuriranje about 4 years ago

12

10

A.APR.1

A.SSE.1.a

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A.SSE.1.a

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Biblioteka

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

Posljednje ažuriranje about 4 years ago

12

10

A.APR.1

A.SSE.1.a

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?

1

2

3

10

4

10

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

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

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?

The factors of ac are both negative.

The factors of ac are both positive.

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

A.SSE.1.a

4

10

Problem 2 Got It?

A

B

C

D

A.APR.1

A.SSE.1.a

10

Problem 3 Got It?

A

B

C

D

A.APR.1

A.SSE.1.a

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Take Note: Match each expression with its GCF monomial.

Stavka koja se može prevući		Odgovarajuća stavka
18x^{2}-33x+12		6x
24x^{2}-16x+2		4
12x^{2}-6x+4		3
12x^{2}-6x		2

10

Problem 4 Got It?

A

B

C

D

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

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.APR.1

A.SSE.1.a

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

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

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?

The factors of ac are both negative.

The factors of ac are both positive.

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

10

Problem 2 Got It?

A

B

C

D

A.APR.1

A.SSE.1.a

10

Problem 3 Got It?

A

B

C

D

A.APR.1

A.SSE.1.a

Take Note: Match each expression with its GCF monomial.

Stavka koja se može prevući		Odgovarajuća stavka
18x^{2}-33x+12		6x
24x^{2}-16x+2		4
12x^{2}-6x+4		3
12x^{2}-6x		2

10

Problem 4 Got It?

A

B

C

D

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.
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?

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

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

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.5x^{2}+11x+2What two numbers have a product of 10 and a sum of 11?

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?

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?

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 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?

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.
5x^{2}+11x+2
What two numbers have a product of 10 and a sum of 11?

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?

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 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?

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?