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

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b ± \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the roots of a quadratic equation.

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

What are the roots of a quadratic equation?

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

How do you check if your factored solution is correct?

You can check by substituting the roots back into the original equation to see if it equals 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 $$\frac{c}{a}$$ .

FLASHCARD 4-1 - Solving Quadratics by Factoring Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the zero-product property?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

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

Back

The first step is to set the equation to zero, if it is not already in that form.

7.

FLASHCARD QUESTION

Front

Back

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