List the ACTUAL rational zeros of f(x) = x³ + 7x² - 2x -14 ?

± 1 , ± 2 , ± 7 , ± 14 \pm1,\pm2,\pm7,\pm14 ± 1 , ± 2 , ± 7 , ± 1 4

List the possible rational zeros of f(x) = x 3 - 4x 2 -4x + 16

± 1 , ± 2 , ± 4 , ± 8 , ± 16 \pm1,\pm2,\pm4,\pm8,\pm16 ± 1 , ± 2 , ± 4 , ± 8 , ± 1 6

± 1 , ± 4 , ± 1 4 \pm1,\pm4,\pm\frac{1}{4} ± 1 , ± 4 , ± 4 1

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

What does it mean to be a factor of a number?

Divides evenly with a remainder of zero.

Divides unevenly with a remainder of 1.

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.

Rational and Complex Zeros of Polynomial Functions

9th - 12th Grade

•

30 Qs

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Rational and Complex Zeros of Polynomial Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.B.2, HSA.APR.B.3, HSA.APR.D.6

Standards-aligned

Maritza Kemp

Used 12+ times

FREE Resource

30 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

3, √5

3, √5, -√5

-3, √5, -√5

-3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

6, 3, -3

-6, 3, -3

-6, 3i, -3i

6, 3i, -3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

1, 1-3i, 1+3i

1, 1+3i, -1-3i

-1, -1+3i, -1-3i

-1, -5, 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find a polynomial function of degree 3 with zeros 3i and -2.

P(x) = x³+2x²+9x+11

P(x) = x³-2x²+9x+18

P(x) = x³+2x²+9x+18

P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

Tags

CCSS.HSA.APR.B.3

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Rational and Complex Zeros of Polynomial Functions

30 questions

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

Find a polynomial function of degree 3 with zeros 3i and -2.

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

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

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

How many negative zeros does the polynomial function
P(x) = x³+3x²-5x-15 have?

A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.

A polynomial function with rational coefficients of degree 4 MUST have at least 1 rational zero.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rational and Complex Zeros of Polynomial Functions

30 questions

Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15

Find all zeros of the polynomial function P(x) = x3+6x2+9x+54

Find all zeros for the polynomial function P(x)= x3-3x2+12x-10

Find a polynomial function of degree 3 with zeros 3i and -2.

What is the degree of the polynomial function P(x)=3x4-7x2-2x7-x+4

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

How many real zeros does the polynomial function P(x) = x3+2x2+9x+18 have?

How many negative zeros does the polynomial function P(x) = x3+3x2-5x-15 have?

A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.

A polynomial function with rational coefficients of degree 4 MUST have at least 1 rational zero.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

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

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

How many negative zeros does the polynomial function
P(x) = x³+3x²-5x-15 have?