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Roots of Equations

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Roots of Equations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8

±1, ±8

±1, ±2, ±4, ±8

±1, ±2, ±4

1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x3 + 2x2 - 11x - 12

-3

-4

1

6

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

-3+5i

-3-5i

-5i

3-5i

Tags

CCSS.HSN.CN.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All imaginary roots comes in pairs.

True

False

Tags

CCSS.HSN.CN.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write in factored form using the following roots.

(x-7)(x-2i)

(x-7)(x+2i)(x-2i)

(x-7)(x+2i)

(x-7)(x+7)(x-2i)

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a polynomial function of least degree with the given zeros.

A

B

C

D

Tags

CCSS.HSA.APR.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State how many of each type of possible solution the following polynomial has f(x) = -4x4 + x3 +11x2 - 4x + 8

Positive: 3 or 1

Negative: 1

Positive: 3

Negative: 1

Positive: 1

Negative: 3 or 1

Positive: 1

Negative: 3

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