Quiz about Polynomial Division GCF

Question 1

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Question 2

Simplify the given polynomial division (Hint: remember GCF)

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

Question 3.

Accepted Answer

-7x

Answer

-2x

Answer

2x

Answer

7x

Question 4

Simplify using long division

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

Question 5.

Accepted Answer

x + 5

Answer

x + 5 + (2/2x - 4)

Answer

x - 8

Answer

x - 5 + (3/2x - 4)

Question 6

Question 6.

Accepted Answer

x² + 14x + 48

Answer

x² + 14x + 8 - (4/x + 2)

Answer

x³ + 8 - (4x/x-2)

Answer

x² + 8x + 48

Question 7

Question 7.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

Solve using Long Division OR Synthetic Division:

$$\left(x^3+8x^2+11x+20\right)\div\left(x+1\right)$$

Accepted Answer

$$x^2+7x+4+\frac{16}{x+1}$$

Answer

$$x^3+7x^2+4x+16+\frac{5}{x+1}$$

Answer

$$x^2+9x+20+\frac{40}{x+1}$$

Answer

$$x^2+9x+18+\frac{2}{x-1}$$

Question 9

Solve using Long Division OR Synthetic Division:

$$\left(2x^3+13x^2-27x-19\right)\div\left(x+8\right)$$

Accepted Answer

$$2x^2-3x-3+\frac{5}{x+8}$$

Answer

$$2x^2+29x+205+\frac{1621}{x+8}$$

Answer

$$x^3+3x^2-13x+5-\frac{7}{x+8}$$

Question 10

Solve using Long Division OR Synthetic Division:

**Look out for missing terms!

$$\left(x^3-16x+9\right)\div\left(x-4\right)$$

Accepted Answer

$$x^2+4x+\frac{9}{x-4}$$

Answer

$$x^2-12x-39$$

Answer

$$x^2+4x+9$$

Answer

$$x^2-4x-32+\frac{137}{x+4}$$

Question 11

Solve using Long Division OR Synthetic Division:

**Look out for missing terms!

$$\left(x^4+4x^3-20x^2-39\right)\div\left(x+7\right)$$

Accepted Answer

$$x^3-3x^2+x-7+\frac{10}{x+7}$$

Answer

$$x^3-3x^2-1x-\frac{46}{x+7}$$

Answer

$$x^3+11x^2+57x+399+\frac{2754}{x+7}$$

Answer

$$x^3+11x^2+57x+\frac{360}{x-7}$$

Polynomial Division GCF

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