The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

10th - 11th Grade

20 Qs

quiz-placeholder

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The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

Assessment

Quiz

Mathematics

10th - 11th Grade

Practice Problem

Medium

CCSS
HSA.APR.B.3, HSN.CN.C.9, HSA.APR.B.2

+9

Standards-aligned

Used 50+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a cubic polynomial in standard form with roots -4, 2+3i
x3-3x+52
x3-8x2-3x+52
x3+8x2-3x+52
x3-29x+52

Tags

CCSS.HSF-IF.C.7C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write a cubic polynomial in standard form with roots 3 and 4i
x3-3x2+16x-48
x3-8x2-3x+52
x3+3x2+3x+1
x3+3x2-16x+48

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of these is a possible root of the polynomials?
x3 - 6x2 - x + 30
0
4
-9
-15

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find all the roots of y=x3-2x2+4x-8
-2, 2i, -2i
2, 2i, -2i
2,-2, 2i
1, 2i, 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find all the roots of y=x3+x2-x+2
-2, (1±i√3)/2,
2, (1±√3)/2,
2, (1±i√3)/2,
-2, (-1±i√3)/2,

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the zeros of the polynomial (include multiplicity):
f(x) = (x2+9)(x -1)3(2x + 5)
-9, 1, -5
-9, 1 (multiplicity of 3), -5
± 3i , 1 (multiplicity of 3), -5∕2
± 3i, 1, -5

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor f(x)= x3 - 2x2-13x - 10  given that
(x - 5) is one factor.
(x- 5)(x - 1)(x - 2)
(x - 5)(x + 2)(x - 2)
(x - 5)(x + 2) (x + 1)
(x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

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