What are the roots of the equation when y = 0?

The roots are the values of x that make the equation equal to zero.

What is the relationship between the coefficients and the roots 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 does it mean if a quadratic equation has no real solutions?

It means that the discriminant (b^2 - 4ac) is less than zero, indicating that the roots are complex.

What is the discriminant in a quadratic equation?

The discriminant is the expression $$b^2 - 4ac$$ that determines the nature of the roots of the quadratic equation.

How do you check if your factored form is correct?

You can check by expanding the factored form back into the standard quadratic form and verifying it matches the original equation.

Factoring Quadratic Equations Flashcard Flashcards

Student preview

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

What is the standard form of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

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

Back

To find the roots by factoring, set the equation to zero, factor it into binomials, and then set each binomial equal to zero.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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