What is the result of $$(1 - 7i)^2$$ ?

The result of $$(1 - 7i)^2$$ is $$-48 - 14i$$ .

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial $$4x^3 - 2x^2 + x - 5$$ , the degree is 3.

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms. For example, $$3x^4 + 2x^3 - x + 7$$ is in standard form.

How do you factor a polynomial?

To factor a polynomial, find the greatest common factor (GCF) and use techniques like grouping, using the quadratic formula, or applying special product formulas. For example, $$x^2 - 9 = (x - 3)(x + 3)$$ .

What is the result of $$(-x^2 + 3x - 12) - (5x^2 - 2x + 9)$$ ?

The result is $$-6x^2 + 5x - 21$$ .

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 divide complex numbers?

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. For example, to divide $$(3 + 4i) / (2 - i)$$ , multiply by $$(2 + i)$$ .

A binomial is a polynomial with exactly two terms. For example, $$x + 5$$ and $$3x^2 - 2x$$ are binomials.

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, $$5x$$ is a monomial, and $$2x^2 + 3x - 1$$ is a polynomial.

Operations with Polynomials and Complex Numbers Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What are complex numbers?

Back

3.

FLASHCARD QUESTION

Front

How do you add complex numbers?

Back

4.

FLASHCARD QUESTION

Front

What is the conjugate of a complex number?

Back

5.

FLASHCARD QUESTION

Front

How do you multiply complex numbers?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

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