How do you classify polynomials?

Polynomials can be classified by their degree: linear (degree 1), quadratic (degree 2), cubic (degree 3), quartic (degree 4), etc.

What is a like term in polynomials?

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms.

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 $$4x^3 + 2x^2 - 5$$ , the leading coefficient is 4.

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.

What is the zero of a polynomial?

A zero of a polynomial is a value of x that makes the polynomial equal to zero. For example, if $$f(x) = x^2 - 4$$ , then the zeros are $$x = 2$$ and $$x = -2$$ .

How do you find the roots of a polynomial?

To find the roots of a polynomial, you set the polynomial equal to zero and solve for x. This can involve factoring, using the quadratic formula, or other methods.

What is polynomial long division?

Polynomial long division is a method used to divide one polynomial by another, similar to numerical long division. It involves dividing the leading terms and subtracting the result from the original polynomial.

What is the Remainder Theorem?

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

Polynomial Vocab & 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

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

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