A monomial is a polynomial with only one term. For example, $$5x^2$$ and $$-3y$$ are monomials.

A binomial is a polynomial with exactly two terms. For example, $$x + 2$$ and $$3x^2 - 4$$ are binomials.

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

What is factored form of a polynomial?

Factored form of a polynomial expresses it as a product of its factors. For example, $$f(x) = (x - 3)(x + 2)$$ is a factored form.

What is the zero-product property?

The zero-product property states that if the product of two or more factors is zero, at least one of the factors must be zero. For example, if $$(x - 3)(x + 2) = 0$$ , then either $$x - 3 = 0$$ or $$x + 2 = 0$$ .

What is the difference between a polynomial and a rational function?

A polynomial is a function that can be expressed as a sum of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials. For example, $$f(x) = \frac{x^2 + 1}{x - 1}$$ is a rational function.

What is the process of factoring a polynomial?

Factoring a polynomial involves expressing it as a product of simpler polynomials. Common methods include factoring out the greatest common factor, using the difference of squares, and applying the quadratic formula.

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation $$ax^2 + bx + c = 0$$ and is given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots of a quadratic equation. If it is positive, there are two distinct real roots; if zero, there is one real root; if negative, there are two complex roots.

How do you add and subtract polynomials?

To add or subtract polynomials, combine like terms. For example, $$(2x^2 + 3x) + (4x^2 - 2x) = 6x^2 + x$$ .

Polynomials Capstone Practice Test Flashcards

Student preview

14 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

What is the standard form of a polynomial?

Back

4.

FLASHCARD QUESTION

Front

What is a monomial?

Back

5.

FLASHCARD QUESTION

Front

What is a binomial?

Back

6.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

7.

FLASHCARD QUESTION

Front

How do you multiply two complex numbers?

Back

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