Solve by factoring: $$x^2 + 5x + 6 = 0$$

$$(x + 2)(x + 3) = 0$$ ; Roots are $$x = -2$$ and $$x = -3$$ .

Solve by factoring: $$x^2 - 9 = 0$$

$$(x - 3)(x + 3) = 0$$ ; Roots are $$x = 3$$ and $$x = -3$$ .

Solve by factoring: $$x^2 - 4x - 12 = 0$$

$$(x - 6)(x + 2) = 0$$ ; Roots are $$x = 6$$ and $$x = -2$$ .

What is the zero-product property?

The zero-product property states that if $$ab = 0$$ , then either $$a = 0$$ or $$b = 0$$ .

Solve by factoring: $$2x^2 + 8x = 0$$

$$2x(x + 4) = 0$$ ; Roots are $$x = 0$$ and $$x = -4$$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

Solve by factoring: $$3x^2 - 12 = 0$$

$$3(x^2 - 4) = 0$$ ; Roots are $$x = 2$$ and $$x = -2$$ .

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$D = b^2 - 4ac$$ , determines the nature of the roots: if $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

Solve by factoring: $$x^2 + 7x + 10 = 0$$

$$(x + 2)(x + 5) = 0$$ ; Roots are $$x = -2$$ and $$x = -5$$ .

A binomial is a polynomial with two terms, such as $$x + 3$$ or $$2x^2 - 5$$ .

Solve by factoring: $$x^2 - 5x + 6 = 0$$

$$(x - 2)(x - 3) = 0$$ ; Roots are $$x = 2$$ and $$x = 3$$ .

Solving Quadratic Equations by Factoring Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

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Back

Tags

CCSS.HSA-REI.B.4B

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