Writing Polynomials given Zeros/Roots

Writing Polynomials given Zeros/Roots

10th - 12th Grade

14 Qs

quiz-placeholder

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Writing Polynomials given Zeros/Roots

Writing Polynomials given Zeros/Roots

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

CCSS
HSA.APR.B.3, HSN.CN.C.9, HSN.CN.A.1

+4

Standards-aligned

Created by

David Buchanan

Used 555+ times

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

All imaginary roots comes in pairs.
True
False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

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

f(x) =x3 - 3x2 - 6x + 8

f(x) = x3 + 8

f(x) = x3 - 3x2 + 8

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following would be a root with 3i?

3i2

-3i

3i

-3i2

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following would be the correct factored form with roots 2, 5i, and 6?

(x-6)(x-2)(x+5i)(x-5i)

(x+6)(x+2)(x+5i)

(x-6)(x-2)(x-5i)

(x+6)(x+2)(x-5i)

Tags

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a+bi is a root of a polynomial, then _______ is also a root.

i2

a-bi

a+bi

-i2

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.8

CCSS.HSN.CN.C.9

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root. 
-2-5i
-2+5i
2+5i
5i

Tags

CCSS.HSN.CN.A.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
Write a polynomial function of least degree with integral coefficients that has the given zeros.
A
B
C
D

Tags

CCSS.HSA.APR.B.3

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