What is a term in a polynomial?

A term in a polynomial is a single mathematical expression that can be a constant, a variable, or a combination of both multiplied by coefficients. For example, in $$3x^2 - 2x + 5$$ , the terms are $$3x^2$$ , $$-2x$$ , and $$5$$ .

What is the leading coefficient of a polynomial?

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. For example, in $$4x^3 + 2x^2 - x + 5$$ , the leading coefficient is 4.

What is polynomial long division?

Polynomial long division is a method used to divide a polynomial by another polynomial of lower degree, similar to long division with numbers. It involves dividing, multiplying, and subtracting until the remainder is of lower degree.

What is synthetic division?

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor. It is quicker and involves fewer steps.

What is a factor of a polynomial?

A factor of a polynomial is a polynomial of lower degree that divides the original polynomial without leaving a remainder. For example, $$(x-1)$$ is a factor of $$x^2 - 1$$ .

What is the Remainder Theorem?

The Remainder Theorem states that when a polynomial $$f(x)$$ is divided by $$(x - c)$$ , the remainder is equal to $$f(c)$$ .

What is the Factor Theorem?

The Factor Theorem states that a polynomial $$f(x)$$ has a factor $$(x - c)$$ if and only if $$f(c) = 0$$ .

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, $$3x$$ is a monomial, and $$3x + 2$$ is a polynomial.

Unit 0 Polynomial Review 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 is the standard form of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you find the difference of two polynomials?

Back

4.

FLASHCARD QUESTION

Front

What is a cubic binomial?

Back

5.

FLASHCARD QUESTION

Front

What is a quadratic trinomial?

Back

6.

FLASHCARD QUESTION

Front

How do you multiply two polynomials?

Back

7.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

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