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: $$35n^2 + 22n + 3 = 0$$

n = -\frac{3}{7}, n = -\frac{1}{5}.

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

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic equation.

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

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

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What should you do if a quadratic equation cannot be factored easily?

If a quadratic equation cannot be factored easily, you can use the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the purpose of completing the square?

Completing the square is a method used to solve quadratic equations by transforming the equation into a perfect square trinomial.

Solving Quadratic equations by factoring Flashcards

Student preview

15 questions

Show all answers

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

What is the standard form of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the first step in solving a quadratic equation by factoring?

Back

The first step is to rearrange the equation to set it equal to zero, if it is not already.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Back

x = -4, x = -5.

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

n = 2 and n = 0.

Tags

CCSS.HSA-REI.B.4B

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