Factor the polynomial: $$x^2 - 64$$

$$\text{This is a difference of squares: } (x + 8)(x - 8)$$ .

Factor the polynomial: $$x^3 + 64$$

$$\text{This is a sum of cubes: } (x + 4)(x^2 - 4x + 16)$$ .

Factor the polynomial: $$x^3 - 64$$

$$\text{This is a difference of cubes: } (x - 4)(x^2 + 4x + 16)$$ .

What is the formula for factoring a sum of cubes?

The sum of cubes can be factored using the formula: $$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$$ .

What is the formula for factoring a difference of cubes?

The difference of cubes can be factored using the formula: $$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ .

Factor the polynomial: $$x^2 - 9$$

$$\text{This is a difference of squares: } (x + 3)(x - 3)$$ .

What does GCF stand for in factoring?

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.

Factor the polynomial: $$x^2 + 10x + 25$$

$$\text{This is a perfect square trinomial: } (x + 5)^2$$ .

What is the significance of factoring in solving equations?

Factoring allows us to rewrite equations in a simpler form, making it easier to find solutions by setting each factor to zero.

Factor the polynomial: $$x^2 + 6x + 9$$

$$\text{This is a perfect square trinomial: } (x + 3)^2$$ .

Factoring Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

2.

FLASHCARD QUESTION

Front

What is the first step in factoring a polynomial?

Back

Check for the Greatest Common Factor (GCF) among the terms.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the difference of squares?

Back

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