Algebra 1 8-6 Factoring ax² + bx+ c

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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

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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.

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

The factors of ac are both positive.

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Problem 2 Got It?

A

B

C

D

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Problem 3 Got It?

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B

C

D

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Problem 4 Got It?

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D

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Reasoning: Explain why you cannot factor the trinomial.

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Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.
What is the value of pq? Enter only a number.

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Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

(t + 4)(t + 11)
(t - 5)(t - 12)
(t - 4)(t + 7)

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Review Lesson 2-7: Match each proportion with its solution.

21
12.5
12

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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Vocabulary Review: Complete each sentence with the correct form of the word factor.

factoring
factor
factored

The monomials 12x, 3x², and 6x³ have a common __?__ of 3x.
When __?__ a trinomial, begin by looking for a factor common to all three terms.
A student __?__ the expression 12x³ - 6x² into 6x²(2x - 1).

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Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

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Reflection: Math Success

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Algebra 1 8-6 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?

Problem 4 Got It?

Reasoning: Explain why you cannot factor the trinomial.

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.
What is the value of pq? Enter only a number.

Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

Review Lesson 2-7: Match each proportion with its solution.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Vocabulary Review: Complete each sentence with the correct form of the word factor.

Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

Reflection: Math Success

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?

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?

Problem 4 Got It?

Reasoning: Explain why you cannot factor the trinomial.

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.
What is the value of pq? Enter only a number.

Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

Review Lesson 2-7: Match each proportion with its solution.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Vocabulary Review: Complete each sentence with the correct form of the word factor.

Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

Reflection: Math Success

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?

Algebra 1 8-6 Factoring ax² + bx+ c

Algebra 1 8-6 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?

Problem 4 Got It?

Reasoning: Explain why you cannot factor the trinomial.

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3. What is the value of pq? Enter only a number.

Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

Review Lesson 2-7: Match each proportion with its solution.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Vocabulary Review: Complete each sentence with the correct form of the word factor.

Use Your Vocabulary: You can rewrite the expression below in order to factor it. Which rewritten expression below is NOT equivalent to the original expression?

Reflection: Math Success

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?

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?

Problem 4 Got It?

Reasoning: Explain why you cannot factor the trinomial.

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3. What is the value of pq? Enter only a number.

Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

Review Lesson 2-7: Match each proportion with its solution.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Vocabulary Review: Complete each sentence with the correct form of the word factor.

Use Your Vocabulary: You can rewrite the expression below in order to factor it. Which rewritten expression below is NOT equivalent to the original expression?

Reflection: Math Success

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?

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?

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.
What is the value of pq? Enter only a number.

Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

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?

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?

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.
What is the value of pq? Enter only a number.

Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

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?