The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Negative Degree - Odd

Leading Coefficient Positive Degree - Even

Leading Coefficient Positive Degree - Odd

Leading Coefficient Negative Degree - Even

What is the domain of the function?

( − ∞ , ∞ ) \left(-\infty,\ \infty\right) ( − ∞ , ∞ )

( ∞ , − ∞ ) \left(\infty,-\infty\right) ( ∞ , − ∞ )

[ 0 , ∞ ] \left[0,\infty\right] [ 0 , ∞ ]

( − ∞ , 0 ] \left(-\infty,0\right] ( − ∞ , 0 ]

What is the range of the function?

( − ∞ , 0 ] \left(-\infty,0\right] ( − ∞ , 0 ]

( ∞ , − ∞ ) \left(\infty,-\infty\right) ( ∞ , − ∞ )

( − ∞ , ∞ ) \left(-\infty,\ \infty\right) ( − ∞ , ∞ )

[ 0 , ∞ ] \left[0,\infty\right] [ 0 , ∞ ]

The function shown has:

Degree four with negative leading coefficient.

Degree two with negative leading coefficient.

Degree three with negative leading coefficient.

Degree four with positive leading coefficient.

HW #31 - Intro to Polynomial Functions

Authored by Staff.Karilee Jeantet

Mathematics

9th - 12th Grade

CCSS covered

Used 40+ times

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31 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify by the number of terms:
$4r^{12}-8r^5+26$

Monomial

Binomial

Trinomial

Polynomial

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Multiply.
$\left(5x-8\right)\left(5x+8\right)$

$25x^2-64$

$25x^2+80x-64$

$5x^2-16$

$25x^2-80x+64$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify by degree of polynomial:
$3x^3-6x$

Constant

Linear

Quadratic

Cubic

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify by degree of polynomial:
$2x-9$

Constant

Linear

Cubic

Quadratic

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Classify the following polynomial

quartic polynomial

quadratic polynomial

quartic trinomial

quadratic trinomial

Classify the following polynomial

Quintic Polynomial

Quartic Polynomial

polynomial

MULTIPLE CHOICE QUESTION

1 min • 1 pt

______________________________ arranges the terms by degree in descending numerical order.

degree of polynomial

polynomial

terms

standard form of polynomial

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this expression in Standard Form?
$6w^2-9w^3$

Yes

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the degree?
$\left(x-3\right)\left(x^2+2x+7\right)$

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HW #31 - Intro to Polynomial Functions

Classify by the number of terms: 4r12−8r5+264r^{12}-8r^5+264r12−8r5+26

Multiply. (5x−8)(5x+8)\left(5x-8\right)\left(5x+8\right)(5x−8)(5x+8)

Classify by degree of polynomial: 3x3−6x3x^3-6x3x3−6x

Classify by degree of polynomial: 2x−92x-92x−9

Classify the following polynomial

Classify the following polynomial

______________________________ arranges the terms by degree in descending numerical order.

Is this expression in Standard Form? 6w2−9w36w^2-9w^36w2−9w3

What is the degree? (x−3)(x2+2x+7)\left(x-3\right)\left(x^2+2x+7\right)(x−3)(x2+2x+7)

The degree of the polynomial determines the max number of roots.

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Discover more resources for Mathematics

Classify by the number of terms:
$4r^{12}-8r^5+26$

Multiply.
$\left(5x-8\right)\left(5x+8\right)$

Classify by degree of polynomial:
$3x^3-6x$

Classify by degree of polynomial:
$2x-9$

Is this expression in Standard Form?
$6w^2-9w^3$

What is the degree?
$\left(x-3\right)\left(x^2+2x+7\right)$