Writing Polynomials Given Roots

Writing Polynomials Given Roots

11th - 12th Grade

11 Qs

quiz-placeholder

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Writing Polynomials Given Roots

Writing Polynomials Given Roots

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Medium

CCSS
HSA.APR.B.3, HSN.CN.A.2

Standards-aligned

Created by

Jeff Williams

Used 64+ times

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in factored form with the following root: 4 and -6i

(x + 4) ( x - 6i) (x - 4)

(x - 4) ( x - 6i) (x + 6i)

(x + 4) ( x - 6i) (x - 6i)

(x + 4) (x - 4) (x - 6i)

Tags

CCSS.HSA.APR.B.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in factored form with the following root: 5 and 4i

(x + 5) (x - 4i) (x + 4i)

(x -5) (x - 4i)

(x -5) (x - 4i) (x + 4i)

(x -5i) (x - 4i) (x + 4i)

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in factored form with the following roots: 3, -8, and 2

(x - 3) (x + 8) (x -2i)

(x - 3i) (x + 8) (x -2)

(x + 3) (x - 8) (x +2)

(x - 3) (x + 8) (x -2)

Tags

CCSS.HSA.APR.B.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in factored form with the following roots:

 1 +2and 91\ +\sqrt{2}and\ 9  

 4x3 + 11x2 + 7x +14x^3\ +\ 11x^2\ +\ 7x\ +1  

 x3  11x2 + 17x +9x^3\ -\ 11x^2\ +\ 17x\ +9  

 11x3  x2 + 9x +17-11x^3\ -\ x^2\ +\ 9x\ +17  

Peanut Butter

Tags

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in standard form with the following roots: 2 + i and 3

x3 x2 +25x 25x^3\ -x^2\ +25x\ -25

x3 7x2 +11x 3x^3\ -7x^2\ +11x\ -3

x3 7x2 +17x 15x^3\ -7x^2\ +17x\ -15

x3 12x2 +48x 64x^3\ -12x^2\ +48x\ -64

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write a polynomial in standard form with the following roots:

 2 5 and 32\ -\sqrt{5}\ and\ 3  

 x3 12x2 + 48x 64x^3\ -12x^2\ +\ 48x\ -64  

 x3 + 83x2 17x +6x^3\ +\ \frac{8}{3}x^2\ -17x\ +6  

 x3 + 7x2 10x 16x^3\ +\ 7x^2\ -10x\ -16  

 x3 7x2 +11x +3x^3\ -7x^2\ +11x\ +3  

Tags

CCSS.HSA.APR.B.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the following problem write the simplest polynomial function with the given zeros:

 3,6, and 13-3,6,\ and\ \frac{1}{3}  

 x3 + 83x2 17x +6x^3\ +\ \frac{8}{3}x^2\ -17x\ +6  

 x3 12x2 +48x + 6x^3\ -12x^2\ +48x\ +\ 6  

 x3 7x2 +11x +3x^3\ -7x^2\ +11x\ +3  

 x3 8x2 =17x 6x^3\ -8x^2\ =17x\ -6  

Tags

CCSS.HSA.APR.B.3

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