Writing Polynomial Functions from Zeros

Writing Polynomial Functions from Zeros

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSF-IF.C.7C, HSA.APR.B.2, HSA.APR.B.3

+2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7C
,
CCSS.HSA.APR.B.2
,
CCSS.HSA.APR.B.3
CCSS.HSN.CN.C.9
,
CCSS.HSA-REI.B.4B
,
The video tutorial reviews the fundamental theorem of algebra and demonstrates how to write polynomial functions from given zeros. It covers converting zeros into factors, handling complex numbers and radicals, understanding conjugate pairs, and determining polynomial degree. Advanced examples with fractions and imaginary numbers are also discussed.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fundamental theorem of algebra used for in polynomial functions?

To factorize quadratic equations

To solve linear equations

To determine the number of zeros

To find the degree of a polynomial

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a zero of -11 into a factor?

x^2 - 11

x^2 + 11

x + 11

x - 11

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factor form of a zero at 3?

x + 3

x - 3

x^2 - 3

x^2 + 3

Tags

CCSS.HSA.APR.B.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you handle imaginary zeros when converting them into factors?

Divide both sides by the imaginary part

Add the imaginary part to both sides

Square both sides

Subtract the imaginary part from both sides

Tags

CCSS.HSF-IF.C.7C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factor form of a zero at √7?

x - √7

x + √7

x^2 + 7

x^2 - 7

Tags

CCSS.HSF-IF.C.7C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the fundamental theorem of algebra tell us about conjugate pairs?

They always appear in pairs

They are always real numbers

They are always imaginary numbers

They are always positive

Tags

CCSS.HSN.CN.C.9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a zero of 2/3 into a factor?

3x - 2

x - 2/3

3x + 2

x + 2/3

Tags

CCSS.HSF-IF.C.7C

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?