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Mathematics

9th - 12th Grade

Used 5+ times

3/5 Remainder and Factor theorem
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13 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

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According to this work, is x-3 a factor of p(x)=5x3−2x2+x−120p\left(x\right)=5x^3-2x^2+x-120  ?

Yes, x-3 is a factor of p(x) since the remainder is 0.

No, x-3 is not a factor of p(x) since the remainder is 0.

2.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

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This work shows x2−3x+5÷x−2x^2-3x+5\div x-2  . What information does this reveal?

x-2 is not a factor of x2−3x+5x^2-3x+5   since the remainder is 3.

x-2 is a factor of x2−3x+5x^2-3x+5   since the remainder is 3.

3.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

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This work shows x2−3x+5÷x−2x^2-3x+5\div x-2  . What information does this reveal?

2 is a solution of x2−3x+5x^2-3x+5   since the remainder is 3.

2 is not a solution of x2−3x+5x^2-3x+5   since the remainder is 3.

4.

MATCH QUESTION

15 mins • 5 pts

Match the following appropriately.

It is important you can recognize the connection between factors and solutions.

x - 3 is a factor of p(x).

3/2 is a solution of p(x).

x-1 is a factor of p(x).

3 is a solution of p(x).

x is a factor of p(x).

1 is a solution of p(x).

2x - 3 is a factor of p(x).

0 is a solution of p(x).

5.

MATCH QUESTION

3 mins • 5 pts

Match the following appropriately.

It is important you can recognize the connection between factors and solutions.

-3 is a solution of p(x).

x - 5 is a factor of p(x).

5 is a solution of p(x).

3x - 5 is a factor of p(x).

-5 is a solution of p(x).

x + 5 is a factor of p(x).

5/3 is a solution of p(x).

x + 3 is a factor of p(x).

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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What do we know about p(x)= 3x4+2x3−5x+43x^4+2x^3-5x+4  based off of the work shown here?

Read carefully. Only one statement is true.

1 is a solution of p(x)

1 is not a solution of p(x)

x -1 is a factor of p(x)

x+1 is not a factor of p(x)

7.

MATCH QUESTION

1 min • 5 pts

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Match the following:

x + 2...

0

The work provided shows the polynomial 5x2 - 10x - 40 being divided by...

is a solution of 5x2−10x−405x^2-10x-40  

The remainder is...

x+2

-2...

is a factor of 5x2−10x−405x^2-10x-40  

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