How do you find the roots of a quadratic equation in factored form?

Set each factor equal to zero and solve for x.

What is the standard form of a quadratic equation?

$$ax^2 + bx + c = 0$$ where a, b, and c are constants.

What is the vertex form of a quadratic equation?

$$y = a(x-h)^2 + k$$ where (h,k) is the vertex.

What is the quadratic formula?

$$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What does the discriminant tell you about a quadratic equation?

It indicates the nature of the roots: real and distinct, real and equal, or complex.

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

The sum of the roots is $$-\frac{b}{a}$$ and the product is $$\frac{c}{a}$$ .

What is the importance of setting a quadratic equation to zero before factoring?

It allows you to find the x-intercepts or solutions of the equation.

Solving Quadratics by Factoring (a=1 or GCF) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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Make it equal 0 by subtracting 3 on each side.

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CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

To express it as a product of its linear factors.

7.

FLASHCARD QUESTION

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