What is the factored form of the quadratic expression $$24x^2 - 22x + 5$$ ?

The factored form is $$(12x - 5)(2x - 1)$$ .

What is the factored form of the quadratic expression $$2x^2 - 25x + 63$$ ?

The factored form is $$(x - 9)(2x - 7)$$ .

Factor the expression $$4h^2 - 17h + 4$$ .

The factored form is $$ (h - 4)(4h - 1)$$ .

What is the vertex form of a quadratic function?

The vertex form is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex.

What is the discriminant of a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots.

What does a positive discriminant indicate?

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

What does a zero discriminant indicate?

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

What does a negative discriminant indicate?

A negative discriminant indicates that the quadratic equation has no real roots (the roots are complex).

What is the process of completing the square?

Completing the square involves rewriting a quadratic in the form $$x^2 + bx$$ to make it a perfect square trinomial.

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

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

The leading coefficient determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

Unit 10 Review Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

What is the definition of a quadratic expression?

Back

5.

FLASHCARD QUESTION

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What is the standard form of a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.

7.

FLASHCARD QUESTION

Front

What is the zero-product property?

Back

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