Which of the following allows you to describe the end behavior of a polynomial?

the degree and the leading coefficent

the leading coefficient and the constant

Select polynomial whose zeros and degree are given. Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7

(x + 5) 3 (x - 9) 2 (x + 2)(x - 4)

(x + 5) 3 (x - 9) 2 (x + 2) 7 (x - 4) 7

Use the rational zero test to determine all the p/q values for f(x) = x 4 - 3x 3 + 6x 2 - 8x - 28

± 1∕4, 1∕2, 1, 2, 4, 7, 14, 28

How could you determine if x-2 is a factor of 2x³-5x²+x-2?

Use synthetic division and see if the remainder is zero

Use synthetic division and see if the quotient is even

Ask the person sitting next to me

If a zero of a polynomial function has multiplicity 4 that means:

The graph will "bounce back" at that zero

The graph will "pass through" at that zero

Zeros cannot have multiplicity of 4

Is (x-2) a factor of f(x)= x 3 -8x 2 +14x-4?

Yes, (x-2) is a factor. The remainder is zero.

Yes, (x-2) is a factor. There is a remainder.

No, (x-2) is not a factor. The remainder is zero.

No, (x-2) is not a factor. There is a remainder.

According to the Rational Root Theorem, what are the all possible rational roots? 2x 3 - 11x 2 + 12x + 9 = 0

±1,±2,±1/3,±2/3,±1/9,±2/9

Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive Degree - Even

Leading Coefficient Positive Degree - Odd

Leading Coefficient Negative Degree - Even

Leading Coefficient Negative Degree - Odd

Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive Degree - Odd

Leading Coefficient Positive Degree - Even

Leading Coefficient Negative Degree - Even

Leading Coefficient Negative Degree - Odd

Graphing Polynomials

Authored by Daniel Drummond

Mathematics

9th - 11th Grade

CCSS covered

Used 14+ times

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23 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

y=-(x+1)(x-2)(x-4)

y=(x+1)²(x-3)(x-1)³

y = 3x³ – 2x + 1

y=(x+1)³(x-3)(x-1)²

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.D.11

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

(0,0)

(0,25)

(0,125)

(0,5)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

f(x) = (x-4)(x-1)²(x+2)(x+4)

f(x) = (x-4)(x+1)²(x+2)(x+4)

f(x) = (x-4)(x-1)²(x-2)(x+4)

f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following could be the equation of the graph shown?

f(x) = x² + 3x

f(x)=x³ + 6x² + 9x

f(x) = x² - 3x

f(x)=x³ - 6x² + 9x

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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Graphing Polynomials

How many zeros does the polynomial function P(x) = 3x4+4x-8 have?

The polynomial f(x) = 5x4 + 2x3 + 2x − 7 can have, at most, how many solutions?

Determine the y-intercept f(x) = x3 - 5x2 - 25x + 125

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

Which of the following could be the equation of the graph shown?

Which of the following allows you to describe the end behavior of a polynomial?

Select polynomial whose zeros and degree are given. Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7