What is the zero-product property?

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

What are the steps to factor a quadratic equation?

1. Write the equation in standard form. 2. Identify the GCF. 3. Factor the quadratic into two binomials. 4. Use the zero-product property to find the roots.

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

What does it mean if a quadratic has no real roots?

It means that the quadratic does not intersect the x-axis, and its discriminant (b^2 - 4ac) is less than zero.

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 can you check your solutions after solving a quadratic equation?

Substitute the solutions back into the original equation to verify that they satisfy the equation.

Solving Quadratics by Factoring (all methods a=1) Flashcards

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16 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 first step in solving a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the GCF (Greatest Common Factor) and why is it important in factoring?

Back

The GCF is the largest factor that divides all terms in an expression. It is important because factoring out the GCF simplifies the equation, making it easier to solve.

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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