Quiz about Long Division and Synthetic

Question 1

Question 1.

Accepted Answer

x - 7

Answer

x2 - 7

Answer

x + 7

Answer

x²+ 3x - 54

Question 2

Question 2.

Accepted Answer

2x² + 3x + 8 + (7/x-4)

Answer

2x³ + 3x + (7/x-4)

Answer

2x² + 3x + 8

Answer

2x² - x + 10 + (6/x-4)

Question 3

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Accepted Answer

Yes, (x-2) is a factor. The remainder is zero.

Answer

Yes, (x-2) is a factor. There is a remainder.

Answer

No, (x-2) is not a factor. The remainder is zero.

Answer

No, (x-2) is not a factor. There is a remainder.

Question 4

What does it mean to be a factor of a number?

Accepted Answer

Divides evenly with a remainder of zero.

Answer

Divides unevenly with a remainder of 1.

Question 5

If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.

Accepted Answer

True

Answer

False

Answer

Only for the dividend

Answer

Only for the divisor

Question 6

What should be the order of the polynomial coefficients if

(3x - 4x³+ 6x⁴ + 1)

Accepted Answer

6 -4 0 3 1

Answer

3 0 -4 6 1

Answer

6 -4 3 1 0

Answer

-6 4 0 -3 -1

Question 7

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 8

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Question 9

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 10

Given f(x) = x³+8x+24, find f(-2).

Accepted Answer

0

Answer

12

Answer

8

Answer

-6

Question 11

Given f(x) = 3x² -9x -20, find the value of f(5).

Accepted Answer

10

Answer

0

Answer

15

Answer

-7

Question 12

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Accepted Answer

Cam did not use a zero place holder for the x³ term.

Answer

Cam wrote the remainder incorrectly.

Answer

Cam added instead of subtracting the rows.

Answer

Cam should have used -2 as his division since the factor was x-2.

Question 13

What is the proper way to write the answer for the following problem?

Accepted Answer

2x³-x²-25x-12

Answer

2x³-x²-25x+12

Answer

2x⁴-x³-25x²-12x+0

Answer

2x⁴-x³-25x²-12x-0

Question 14

When using synthetic division to divide $$x^2-5x+7$$ by $$\left(x+1\right)$$ , then the value I put in the "box" is.....

Accepted Answer

-1

Answer

1

Answer

5

Answer

-5

Question 15

When using synthetic division to divide by a term in the form $$\left(x-c\right)$$ , then the value I put in the "box" is .....

Accepted Answer

c

Answer

x

Answer

-x

Answer

-c

Question 16

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

Accepted Answer

The remainder is zero

Answer

They are all factors

Answer

We can't tell

Answer

The remainder is a constant

Long Division and Synthetic

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