Discriminant

Discriminant

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by the formula b² - 4ac, where a, b, and c are coefficients in the quadratic equation ax² + bx + c = 0.

2.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real solutions.

3.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has two complex (imaginary) solutions.

4.

FLASHCARD QUESTION

Front

What does a zero discriminant indicate about the solutions of a quadratic equation?

Back

A zero discriminant indicates that the quadratic equation has exactly one real solution (a repeated root).

5.

FLASHCARD QUESTION

Front

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

Back

Set each factor equal to zero and solve for x. For example, for (x + 10)(x - 2) = 0, the zeros are x = -10 and x = 2.

6.

FLASHCARD QUESTION

Front

Calculate the discriminant for the equation 2x² + 4x + 2 = 0.

Back

The discriminant is b² - 4ac = 4² - 4(2)(2) = 16 - 16 = 0.

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

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