What is the result of dividing the polynomial $$2x^8 - 8x^2 - 28x$$ by the monomial $$2x^2$$ ?

The result is $$x^6 - 4 - 14/x$$ .

Is $$2x = 10$$ a polynomial?

No, $$2x = 10$$ is an equation, not a polynomial.

What is the degree of a polynomial?

The degree of a polynomial is the highest exponent of its variable. For example, in $$4x^3 + 2x^2 - x + 7$$ , the degree is 3.

A monomial is a polynomial with only one term, such as $$5x^2$$ or $$-3xy$$ .

A binomial is a polynomial with two terms, such as $$x + 5$$ or $$3x^2 - 2y$$ .

A trinomial is a polynomial with three terms, such as $$x^2 + 3x + 2$$ .

How do you combine like terms?

To combine like terms, add or subtract their coefficients while keeping the variable and exponent the same. For example, $$3x + 5x = 8x$$ .

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in $$4x^3 + 2x^2 - x + 7$$ , the leading coefficient is 4.

What is the difference between a polynomial and a non-polynomial expression?

A polynomial has non-negative integer exponents, while a non-polynomial expression may have negative exponents, fractions, or variables in the denominator.

What does it mean to simplify a polynomial expression?

Simplifying a polynomial expression means to combine like terms and reduce the expression to its simplest form.

Unit 4 Polynomials Extra Practice 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 does it mean for a polynomial to be in standard form?

Back

3.

FLASHCARD QUESTION

Front

Identify the polynomial in standard form: -3x + 8x^2 + 9x^3 - 11, 9x^3 + 8x^2 - 3x - 11, 8x^2 + 9x^3 - 11 - 3x, -11 - 3x + 8x^2 + 9x^3.

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4.

FLASHCARD QUESTION

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Back

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