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Questions and Answers
Factor the expression: $x^2 - 36$
Factor the expression: $x^2 - 36$
$(x + 6)(x - 6)$
Factor the expression: $x^2 - 64$
Factor the expression: $x^2 - 64$
$(x - 8)(x + 8)$
Factor the expression: $4x^2 - 81$
Factor the expression: $4x^2 - 81$
$(2x + 9)(2x - 9)$
Factor the expression: $x^2 - 1$
Factor the expression: $x^2 - 1$
Factor the expression: $9x^2 - 25$
Factor the expression: $9x^2 - 25$
Factor the expression: $x^2 - 144$
Factor the expression: $x^2 - 144$
Factor the expression: $4 - x^2$
Factor the expression: $4 - x^2$
Factor the expression: $49 - 4x^2$
Factor the expression: $49 - 4x^2$
Factor the expression: $100 - 9x^2$
Factor the expression: $100 - 9x^2$
Factor the expression: $25x^2 - 4$
Factor the expression: $25x^2 - 4$
Factor the expression: $x^8 - 1$
Factor the expression: $x^8 - 1$
Factor the expression: $x^2 - 2x + 1$
Factor the expression: $x^2 - 2x + 1$
Factor the expression: $x^2 + 6x + 9$
Factor the expression: $x^2 + 6x + 9$
Factor the expression: $4x^2 - 20x + 25$
Factor the expression: $4x^2 - 20x + 25$
Factor the expression: $x^2 - 12x + 36$
Factor the expression: $x^2 - 12x + 36$
Factor the expression: $x^2 + 14x + 49$
Factor the expression: $x^2 + 14x + 49$
Factor the expression: $x^2 - 16x + 64$
Factor the expression: $x^2 - 16x + 64$
Factor the expression: $x^2 + 22x + 121$
Factor the expression: $x^2 + 22x + 121$
Factor the expression: $x^2 + 24x + 144$
Factor the expression: $x^2 + 24x + 144$
Factor the expression if possible: $x^2 + 36$
Factor the expression if possible: $x^2 + 36$
What is the general form of a Perfect Square Trinomial that factors into $(a+b)^2$?
What is the general form of a Perfect Square Trinomial that factors into $(a+b)^2$?
What is the general form for factoring a Difference of Squares?
What is the general form for factoring a Difference of Squares?
Factor the following expression: $x^2 - 36$
Factor the following expression: $x^2 - 36$
Factor the following expression: $x^2 - 64$
Factor the following expression: $x^2 - 64$
Factor the following expression: $4x^2 - 81$
Factor the following expression: $4x^2 - 81$
Factor the following expression: $x^2 - 1$
Factor the following expression: $x^2 - 1$
Factor the following expression: $9x^2 - 25$
Factor the following expression: $9x^2 - 25$
Factor the following expression: $x^2 - 144$
Factor the following expression: $x^2 - 144$
Factor the following expression: $4 - x^2$
Factor the following expression: $4 - x^2$
Factor the following expression: $49 - 4x^2$
Factor the following expression: $49 - 4x^2$
Factor the following expression: $100 - 9x^2$
Factor the following expression: $100 - 9x^2$
Factor the following expression: $25x^2 - 4$
Factor the following expression: $25x^2 - 4$
Factor the following expression: $x^8 - 1$
Factor the following expression: $x^8 - 1$
Factor the following expression: $x^2 - 2x + 1$
Factor the following expression: $x^2 - 2x + 1$
Factor the following expression: $x^2 + 6x + 9$
Factor the following expression: $x^2 + 6x + 9$
Factor the following expression: $4x^2 - 20x + 25$
Factor the following expression: $4x^2 - 20x + 25$
Factor the following expression: $x^2 - 12x + 36$
Factor the following expression: $x^2 - 12x + 36$
Factor the following expression: $x^2 + 14x + 49$
Factor the following expression: $x^2 + 14x + 49$
Factor the following expression: $x^2 - 16x + 64$
Factor the following expression: $x^2 - 16x + 64$
Factor the following expression: $x^2 + 22x + 121$
Factor the following expression: $x^2 + 22x + 121$
Factor the following expression: $x^2 + 24x + 144$
Factor the following expression: $x^2 + 24x + 144$
Factor the following expression: $x^2 + 36$
Factor the following expression: $x^2 + 36$
What is name for a trinomial that results from squaring a binomial, such as $(ax+b)^2$ or $(ax-b)^2$?
What is name for a trinomial that results from squaring a binomial, such as $(ax+b)^2$ or $(ax-b)^2$?
What is the name for an expression with two terms which are both perfect squares and are subtracted, such as $a^2 - b^2$?
What is the name for an expression with two terms which are both perfect squares and are subtracted, such as $a^2 - b^2$?
Factor the expression: $x^2 - 36$
Factor the expression: $x^2 - 36$
Factor the expression: $x^2 - 64$
Factor the expression: $x^2 - 64$
Factor the expression: $4x^2 - 81$
Factor the expression: $4x^2 - 81$
Factor the expression: $x^2 - 1$
Factor the expression: $x^2 - 1$
Factor the expression: $9x^2 - 25$
Factor the expression: $9x^2 - 25$
Factor the expression: $x^2 - 144$
Factor the expression: $x^2 - 144$
Factor the expression: $4 - x^2$
Factor the expression: $4 - x^2$
Factor the expression: $49 - 4x^2$
Factor the expression: $49 - 4x^2$
Factor the expression: $100 - 9x^2$
Factor the expression: $100 - 9x^2$
Factor the expression: $25x^2 - 4$
Factor the expression: $25x^2 - 4$
Factor the expression: $x^8 - 1$
Factor the expression: $x^8 - 1$
Factor the expression: $x^2-2x+1$
Factor the expression: $x^2-2x+1$
Factor the expression: $x^2+6x+9$
Factor the expression: $x^2+6x+9$
Factor the expression: $4x^2-20x+25$
Factor the expression: $4x^2-20x+25$
Factor the expression: $x^2-12x+36$
Factor the expression: $x^2-12x+36$
Factor the expression: $x^2+14x+49$
Factor the expression: $x^2+14x+49$
Factor the expression: $x^2-16x+64$
Factor the expression: $x^2-16x+64$
Factor the expression: $x^2+22x+121$
Factor the expression: $x^2+22x+121$
Factor the expression: $x^2+24x+144$
Factor the expression: $x^2+24x+144$
Factor the expression: $x^2 + 36$. If it cannot be factored, write 'Prime'.
Factor the expression: $x^2 + 36$. If it cannot be factored, write 'Prime'.
An expression in the form $a^2 + 2ab + b^2$ or $a^2 - 2ab + b^2$ is called a _____ _____ _____.
An expression in the form $a^2 + 2ab + b^2$ or $a^2 - 2ab + b^2$ is called a _____ _____ _____.
An expression in the form $a^2 - b^2$ is called a _____ of _____.
An expression in the form $a^2 - b^2$ is called a _____ of _____.
Flashcards
Factor x² - 36
Factor x² - 36
(x + 6)(x - 6)
Factor x² - 64
Factor x² - 64
(x - 8)(x + 8)
Factor 4x² - 81
Factor 4x² - 81
(2x + 9)(2x - 9)
Factor x² - 1
Factor x² - 1
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Factor 9x² - 25
Factor 9x² - 25
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Factor x² - 144
Factor x² - 144
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Factor 4 - x²
Factor 4 - x²
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Factor 49 - 4x²
Factor 49 - 4x²
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Factor 100 - 9x²
Factor 100 - 9x²
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Factor 25x² - 4
Factor 25x² - 4
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Factor x⁸ -1
Factor x⁸ -1
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Factor x²-2x+1
Factor x²-2x+1
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Factor x²+6x+9
Factor x²+6x+9
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Factor 4x²-20x+25
Factor 4x²-20x+25
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Factor x²-12x+36
Factor x²-12x+36
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Factor x²+14x+49
Factor x²+14x+49
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Factor x²-16x+64
Factor x²-16x+64
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Factor x²+22x+121
Factor x²+22x+121
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Factor x²+24x+144
Factor x²+24x+144
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Factor x² + 36
Factor x² + 36
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Study Notes
- Factoring special cases involves recognizing patterns to simplify expressions.
Difference of Squares
- x² - 36 factors to (x + 6)(x - 6).
- x² - 64 factors to (x - 8)(x + 8).
- 4x² - 81 factors to (2x + 9)(2x - 9).
- x² - 1 factors to (x - 1)(x + 1).
- 9x² - 25 factors to (3x + 5)(3x - 5).
- x² - 144 factors to (x - 12)(x + 12).
- 4 - x² factors to (2 + x)(2 - x).
- 49 - 4x² factors to (7 - 2x)(7 + 2x).
- 100 - 9x² factors to (10 + 3x)(10 - 3x).
- 25x² - 4 factors to (5x + 2)(5x - 2).
- x⁸ - 1 factors to (x⁴ + 1)(x⁴ - 1).
- Difference of Squares is a special case factoring pattern.
Perfect Square Trinomials
- x² - 2x + 1 factors to (x - 1)².
- x² + 6x + 9 factors to (x + 3)².
- 4x² - 20x + 25 factors to (2x - 5)².
- x² - 12x + 36 factors to (x - 6)².
- x² + 14x + 49 factors to (x + 7)².
- x² - 16x + 64 factors to (x - 8)².
- x² + 22x + 121 factors to (x + 11)².
- x² + 24x + 144 factors to (x + 12)².
- Perfect Square Trinomial is a special case factoring pattern.
Prime Expressions
- x² + 36 is a prime expression and cannot be factored.
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