Is $$x^2 - 4x + 4$$ a polynomial?

Yes, $$x^2 - 4x + 4$$ is a polynomial because it consists of terms with non-negative integer powers of x.

What is the leading term of the polynomial $$-2x^5 + 4x^3 - 7x + 1$$ ?

The leading term is $$-2x^5$$ , as it has the highest degree.

Determine if $$\frac{1}{x} + 3x^2$$ is a polynomial.

No, $$\frac{1}{x} + 3x^2$$ is not a polynomial because it contains a term with a negative exponent.

What is the degree of the polynomial $$9x^2 - 3x + 5$$ ?

The degree of the polynomial $$9x^2 - 3x + 5$$ is 2.

Which of the following is NOT a polynomial? $$x^2 - 2\text{sqrt}{x} + 7$$ , $$5x^3 - 4x + 1$$ , $$3x^4 + 2x^2 - x + 8$$ , $$x^6 - x^5 + x^4 - x^3$$ .

$$x^2 - 2\text{sqrt}{x} + 7$$ is NOT a polynomial because it contains a square root of a variable.

Identify the degree of the polynomial $$7x^8 - 2x^5 + 3x^2 - x$$ .

The degree of the polynomial is 8.

Is $$2x^3 - \frac{1}{x^2} + 7$$ a polynomial?

No, $$2x^3 - \frac{1}{x^2} + 7$$ is not a polynomial because it contains a term with a negative exponent.

A monomial is a polynomial with only one term. For example, $$3x^2$$ is a monomial.

A binomial is a polynomial with exactly two terms. For example, $$x^2 - 4$$ is a binomial.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 3x + 2$$ is a trinomial.

Overview of Polynomials Flashcards

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1.

FLASHCARD QUESTION

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What is a polynomial?

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2.

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What is the degree of a polynomial?

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3.

FLASHCARD QUESTION

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The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is 5.

4.

FLASHCARD QUESTION

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5.

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6.

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7.

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