What does a negative discriminant indicate?

A negative discriminant indicates that the quadratic equation has no real roots, only complex roots.

How do you factor the quadratic equation $$x^2 - 16$$ ?

The equation can be factored as $$(x - 4)(x + 4)$$ , using the difference of squares.

How do you factor the quadratic equation $$x^2 - 7x + 10$$ ?

The equation can be factored as $$(x - 2)(x - 5)$$ .

What is the first step in factoring a quadratic equation?

The first step is to look for a common factor in all terms of the equation.

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient (the coefficient of $$x^2$$ ) affects the direction of the parabola's opening: if positive, it opens upwards; if negative, it opens downwards.

What is the vertex of a parabola represented by a quadratic equation?

The vertex is the highest or lowest point of the parabola, found at $$x = -\frac{b}{2a}$$ .

What is the axis of symmetry in a quadratic equation?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by $$x = -\frac{b}{2a}$$ .

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

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, and they correspond to the values that make each factor equal to zero.

A.10E Factoring Quadratic Equations

Flashcard

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

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

Standards-aligned

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FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

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

FLASHCARD QUESTION

Front

What does a zero discriminant indicate?

Back

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

Tags

CCSS.HSA-REI.B.4B

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