Algebra 1 8-7 Guided Practice: Factoring Special Cases

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8

Take Note: Factoring Perfect-Square Trinomials

x^{2}+8x+16=(x+4)(x+4)=(__________)^{2}

4n^{2}-12n+9=(__________)(__________)=(2n-3)^2

x^{2}+10x+25=(__________)^2

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

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Take Note: Factoring a Difference of Two Squares

x^{2}-25=(x__________5)(x__________5)

4x^{2}-100=(__________)(__________)

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

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Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

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Take Note: GCF Review

Match each expression with its greatest common factor (GCF).

Draggable item		Corresponding Item
4x^{2}+2		6
24x^{2}-6		3x
6x^{2}-9x		2

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Problem 5 Got It?

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Problem 5 Got It?

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Algebra 1 8-7 Guided Practice: Factoring Special Cases

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF Review

Match each expression with its greatest common factor (GCF).

Problem 5 Got It?

Problem 5 Got It?

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

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Take Note: Vocabulary: Which of the following binomials are differences of squares? Select all that apply.

Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF Review

Match each expression with its greatest common factor (GCF).

Problem 5 Got It?

Problem 5 Got It?

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

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Take Note: Vocabulary: Which of the following binomials are differences of squares? Select all that apply.

Algebra 1 8-7 Guided Practice: Factoring Special Cases

Algebra 1 8-7 Guided Practice: Factoring Special Cases

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial? Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares. Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF ReviewMatch each expression with its greatest common factor (GCF).

Problem 5 Got It?

Problem 5 Got It?

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

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Take Note: Vocabulary: Which of the following binomials are differences of squares? Select all that apply.

Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial? Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares. Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF ReviewMatch each expression with its greatest common factor (GCF).

Problem 5 Got It?

Problem 5 Got It?

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

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Take Note: Vocabulary: Which of the following binomials are differences of squares? Select all that apply.

Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF Review

Match each expression with its greatest common factor (GCF).

Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Take Note: GCF Review

Match each expression with its greatest common factor (GCF).