What is the imaginary part of a complex number?

The imaginary part of a complex number $$a + bi$$ is the coefficient b of $$i$$ .

What is the real part of a complex number?

The real part of a complex number $$a + bi$$ is the coefficient a.

How do you add two complex numbers?

To add two complex numbers, add their real parts and their imaginary parts separately: $$(a + bi) + (c + di) = (a + c) + (b + d)i$$ .

How do you multiply two complex numbers?

To multiply two complex numbers, use the distributive property: $$(a + bi)(c + di) = ac + adi + bci + bdi^2$$ , and remember that $$i^2 = -1$$ .

What is the conjugate of a complex number?

The conjugate of a complex number $$a + bi$$ is $$a - bi$$ .

What is the modulus of a complex number?

The modulus of a complex number $$a + bi$$ is given by $$|a + bi| = \sqrt{a^2 + b^2}$$ .

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

The roots of a quadratic equation correspond to the x-intercepts of its graph, which is a parabola.

How do you check the roots of a quadratic equation graphically?

To check the roots graphically, plot the quadratic function and observe where it intersects the x-axis.

Algebra II Quadratics and Imaginary Numbers Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

3.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

4.

FLASHCARD QUESTION

Front

How do you simplify the expression (4-2i)(5+i)?

Back

5.

FLASHCARD QUESTION

Front

What is the result of squaring the complex number (8-2i)?

Back

6.

FLASHCARD QUESTION

Front

Define imaginary numbers.

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a complex number?

Back

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