How do you simplify $$\sqrt{-50}$$ ?

To simplify $$\sqrt{-50}$$ , express it as $$\sqrt{50} \cdot \sqrt{-1} = \sqrt{50} \cdot i = 5i\sqrt{2}$$ .

How do you factor the expression $$16n^2 - 25$$ ?

The expression $$16n^2 - 25$$ is a difference of squares and can be factored as $$(4n - 5)(4n + 5)$$ .

What is the solution to the equation $$(2x - 1)^2 = 49$$ ?

To solve $$(2x - 1)^2 = 49$$ , take the square root of both sides: $$2x - 1 = 7$$ or $$2x - 1 = -7$$ . This gives solutions $$x = 4$$ and $$x = -3$$ .

How do you find the value of $$c$$ that makes $$x^2 + 16x + c$$ a perfect square?

To make $$x^2 + 16x + c$$ a perfect square, set $$c = (\frac{16}{2})^2 = 64$$ .

What is the factored form of $$x^2 - 5x + 6$$ ?

The factored form of $$x^2 - 5x + 6$$ is $$(x - 2)(x - 3)$$ .

What is the discriminant of a quadratic equation?

The discriminant of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$D = b^2 - 4ac$$ and determines the nature of the roots.

What does it mean if the discriminant is positive?

If the discriminant $$D > 0$$ , the quadratic equation has two distinct real roots.

What does it mean if the discriminant is zero?

If the discriminant $$D = 0$$ , the quadratic equation has exactly one real root (a repeated root).

How do you solve a quadratic equation by completing the square?

To solve by completing the square, rearrange the equation to isolate the constant, then add the square of half the coefficient of $$x$$ to both sides.

What is the relationship between the roots and coefficients 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 $$\frac{c}{a}$$ .

Review: Factoring, Comp the Sq, Quad Formula & Complex Numb Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a complex number?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for a quadratic to be a perfect square?

Back

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

Front

What is the standard form of a complex number?

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