Sketching Polynomials Exit

Sketching Polynomials Exit

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA-REI.B.4B, HSA.APR.D.6

+1

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is: $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ where $$a_n$$ is not zero.

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression. For example, in $$f(x) = 2x^3 + 3x^2 + 1$$, the degree is 3.

3.

FLASHCARD QUESTION

Front

How do you determine the number of roots of a polynomial?

Back

The number of roots of a polynomial is equal to its degree. For example, a polynomial of degree 3 can have up to 3 roots.

4.

FLASHCARD QUESTION

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial graph.

5.

FLASHCARD QUESTION

Front

What does it mean for a polynomial to have a double root?

Back

A double root occurs when a root is repeated. For example, in $$f(x) = (x-2)^2$$, the root x=2 is a double root.

Tags

CCSS.HSF-IF.C.7C

6.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity, determined by the degree and leading coefficient.

7.

FLASHCARD QUESTION

Front

What is a factored form of a polynomial?

Back

A polynomial is in factored form when it is expressed as a product of its linear factors. For example, $$f(x) = (x-1)(x+2)$$ is a factored form.

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