Writing Polynomial Functions from Zeros

Writing Polynomial Functions from Zeros

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA.APR.A.1, HSA.APR.B.3

+2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7C
,
CCSS.HSA.APR.A.1
,
CCSS.HSA.APR.B.3
CCSS.HSN.CN.A.1
,
CCSS.HSN.CN.C.9
,
The video tutorial explains how to write polynomial functions given their zeros. It covers the concept of zeros as X intercepts and demonstrates how to express them as factors of the polynomial. The tutorial includes examples with both real and imaginary zeros, showing the process of multiplying factors to form the polynomial function. It emphasizes the importance of writing the final polynomial in standard form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a zero of a polynomial function?

A point where the function has a minimum value

A point where the function crosses the y-axis

A point where the function has a maximum value

A point where the function crosses the x-axis

Tags

CCSS.HSF-IF.C.7C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 2 is a zero of a polynomial function, what is the corresponding factor?

x - 2

x^2 + 2

x + 2

x^2 - 2

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply conjugate pairs like (x - 3) and (x + 3)?

You get a cubic term

You get a constant term

You get a linear term

You get a quadratic term with no middle term

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the polynomial function with zeros 4, 3, and -3?

x^3 - 4x^2 + 9x - 36

x^3 + 4x^2 - 9x - 36

x^3 + 4x^2 + 9x + 36

x^3 - 4x^2 - 9x + 36

Tags

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 7i is a zero of a polynomial function, what must also be a zero?

-7

7i

7

-7i

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying (x - 7i) and (x + 7i)?

x^2 - 14i

x^2 + 14i

x^2 + 49

x^2 - 49

Tags

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the polynomial function with zeros 2, 7i, and -7i?

x^3 + 2x^2 + 49x - 98

x^3 - 2x^2 + 49x - 98

x^3 + 2x^2 - 49x + 98

x^3 - 2x^2 - 49x + 98

Tags

CCSS.HSA.APR.B.3

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