math 3 polynomial roots

math 3 polynomial roots

Assessment

Flashcard

Mathematics

11th Grade

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients. For example, f(x) = 2x^3 - 4x + 7 is a polynomial.

2.

FLASHCARD QUESTION

Front

What are the roots (or zeros) of a polynomial?

Back

The roots (or zeros) of a polynomial are the values of x for which the polynomial equals zero. They are the points where the graph of the polynomial intersects the x-axis.

3.

FLASHCARD QUESTION

Front

How do you determine the number of zeros of a polynomial function?

Back

The number of zeros of a polynomial function is determined by its degree. A polynomial of degree n can have up to n real roots.

4.

FLASHCARD QUESTION

Front

What is the Factor Theorem?

Back

The Factor Theorem states that if f(c) = 0 for a polynomial f(x), then (x - c) is a factor of f(x).

5.

FLASHCARD QUESTION

Front

What is the Remainder Theorem?

Back

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

6.

FLASHCARD QUESTION

Front

How do you factor a difference of squares?

Back

A difference of squares can be factored using the formula a^2 - b^2 = (a - b)(a + b). For example, 49x^2 - 100 = (7x - 10)(7x + 10).

7.

FLASHCARD QUESTION

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a sum of terms in descending order of the degree of the variable. For example, f(x) = 3x^4 + 2x^3 - x + 5.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?