What is the conjugate of a complex number?

The conjugate of a complex number $$a + bi$$ is $$a - bi$$ . For example, the conjugate of $$3 + 4i$$ is $$3 - 4i$$ .

How do you multiply complex numbers?

To multiply complex numbers, use the distributive property and apply the fact that $$i^2 = -1$$ . For example, to multiply $$(7 - 5i)(7 + 5i)$$ , use the formula for the difference of squares.

What is the result of multiplying a complex number by its conjugate?

The result of multiplying a complex number by its conjugate is a real number. For example, $$(a + bi)(a - bi) = a^2 + b^2$$ .

What is the imaginary unit?

The imaginary unit, denoted as $$i$$ , is defined as the square root of -1, such that $$i^2 = -1$$ .

How do you simplify expressions with complex numbers?

To simplify expressions with complex numbers, combine like terms and apply the property that $$i^2 = -1$$ . For example, $$2 + 3i - 4i = 2 - i$$ .

What is the standard form of a complex number?

The standard form of a complex number is written as $$a + bi$$ , where $$a$$ is the real part and $$b$$ is the imaginary part.

How do you find the sum of two complex numbers?

To find the sum of two complex numbers, add their real parts and their imaginary parts separately. For example, $$(-7 + 8i) + (5 - 2i) = -2 + 6i$$ .

What is the result of $$(7 - 5i)(7 + 5i)$$ ?

The result is 74, calculated as $$7^2 - (5i)^2 = 49 - (-25) = 49 + 25 = 74$$ .

Review Day 3 - Polynomial and Complex operations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

3.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

4.

FLASHCARD QUESTION

Front

What are like terms in a polynomial?

Back

5.

FLASHCARD QUESTION

Front

How do you find the sum of polynomials?

Back

6.

FLASHCARD QUESTION

Front

What is a complex number?

Back

7.

FLASHCARD QUESTION

Front

How do you add complex numbers?

Back

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