Quiz about Long and Synthetic Division

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

Question 4.

Accepted Answer

x + 5

Answer

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

Answer

x - 8

Answer

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

Question 5

The answer to a division problem is known as the...?

Accepted Answer

quotient

Answer

product

Answer

sum

Answer

difference

Question 6

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 7

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 8

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

Accepted Answer

-1,-3,3/2

Answer

-1,-3,-3

Answer

3,3,3

Answer

-3,2/3,-1

Question 9

When p(x) = 9x⁴- 45x³+ 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

Accepted Answer

p(2) = -64

Answer

p(2) = 656

Answer

p(2) = 652

Answer

p(2) = -368

Question 10

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

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 11

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 12

What is the quotient when (10n²- 37n - 12) is divided by (n - 4)?

Accepted Answer

(10n + 3)

Answer

(10n - 3)

Answer

(3n - 10)

Answer

(3n + 10)

Question 13

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Long and Synthetic Division

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