Roots of Quadratics

Roots of Quadratics

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, HSF-IF.C.7A

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

What is the discriminant of a quadratic equation?

Back

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

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

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

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does a discriminant of zero indicate?

Back

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

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has two complex (non-real) roots.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Calculate the discriminant for the equation 3x^2 - 2x + 1 = 0.

Back

D = (-2)^2 - 4(3)(1) = 4 - 12 = -8 (Complex roots).

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

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

Back

D = (-4)^2 - 4(1)(4) = 16 - 16 = 0 (One real root).

Tags

CCSS.HSA-REI.B.4B

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