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

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12 questions

A.APR.1

A.SSE.1.a

A.APR.1

A.SSE.1.a

A.APR.1

A.SSE.1.a

A.APR.1

A.SSE.1.a

Draggable item		Corresponding Item

A.APR.1

A.SSE.1.a

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

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

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

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

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: Match each expression with its GCF monomial.

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?

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?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

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

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

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

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: Match each expression with its GCF monomial.

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?

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?

Problem 4 Got It?

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?

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?