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Rational Root Theorem - Possible zeroes

Authored by Henry Phan

Mathematics

10th Grade

CCSS covered

Used 26+ times

Rational Root Theorem - Possible zeroes
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give P(x) = 4x2 + 4x - 3

As p = ±\pm  {factor of a constant}, determine p?

p = 1, 3,

p = -1, -3,

p = -1, 1, -3, 3

p = -1, 1, -2, 2, -3, 3,

Tags

CCSS.HSF-IF.C.7C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give P(x) = 4x2 + 4x - 3

As q = ±\pm  {factor of a leading coefficient}, determine q?

q = ±\pm  {1, 2, 4}

q = ±\pm  {1, 3}

q = -1, 1, -3, 3, -4, 4

q = -1, 1, -2, 2, -3, 3, -4, 4

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Give P(x) = 4x2 + 4x - 3

As all possible zeroes = p/q = ±\pm  {factor of constant/factor of leading coefficient}

All possible zeroes =

-1, 1, -2, 2, -4, 4, -1/2, 1/2, -2/3, 2/3, -4/3, 4/3

All possible zeroes =

±\pm   {1, 3, 3/2, 3/4}

All possible zeroes =

-1, -3, -3/2, -3/4,

All possible zeroes =

1, 3, 3/2, 3/4,

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Give P(x) = 9x2 - 2x - 24 + 2x3

As p = ±\pm  {factor of a constant}, determine p?

p = ±\pm  {1, 3, 9}

p = ±\pm  {1, 2, 4, 6, 8, 12, 24}

p = ±\pm  {1, 2. 3. 4, 5, 6, 7, 8, 9}

p = -1, 1, -2, 2, -3, 3,

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give P(x) = 9x2 - 2x - 24 + 2x3

As q = ±\pm  {factor of a leading coefficient}, determine q?

q = ±\pm  {1, 3, 9}

q = ±\pm  {1, 2}

q = -1, 1, -2, 2, -3, 3

q = -1, 1, -2, 2, -3, 3, -4, 4, -5, 5, -6, 6, -7, 7, -8, 8, -9, 9

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Give P(x) = 9x2 - 2x - 24 + 2x3

As all possible zeroes = p/q = ±\pm  {factor of constant/factor of leading coefficient}

All possible zeroes =

±\pm  {1, 2, 3, 9, 1/2, 1/3, 1/9, 2/3, 2/9, 3/2, 9/2}

All possible zeroes =

±\pm   {1, 2, 3, 9}

All possible zeroes =

±\pm  {1, 2, 3., 4. 6, 8, 12, 24, 1/2, 3/2}

All possible zeroes =

-1, 1, -2, 2, -3, 3, -4, 4, -6, 6, -12, 12. -24, 24

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give P(x) = -4x2 + 3x3 - 17x + 6

As all possible zeroes = p/q =  ±\pm {factor of constant/factor of leading coefficient}

All possible zeroes =

 ±\pm {1, 2, 3, 6, 1/1, 1/4, 2/1, 2/4, 3/1, 3/2, 3/4, 6/1, 6/2, 6/4}

All possible zeroes =

 ±\pm  {1, 2, 3, 6,1/3, 2/3}

All possible zeroes =

 ±\pm {1, 2, 4, 1/2, 1/3, 1/6, 2/3, 4/3}

All possible zeroes =

 ±\pm {1, 2, 4, 1/2, 1/3, 1/6, 2/1, 2/2, 2/3, 2/6, 4/1, 4/2, 4/3, 4/6}

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