What is the first step in dividing polynomials using long division?

Dividing Polynomials: Long Division and Synthetic Methods

Interactive Video
•

Amelia Wright
•
Mathematics
•
8th - 12th Grade
•
Hard
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Multiply the divisor by the dividend
Subtract the divisor from the dividend
Add the divisor to the dividend
Ask what to multiply the divisor by to get the leading term of the dividend
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the remainder when 2n^2 - 16n + 19 is divided by n - 7?
5
0
-5
7
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the leading term of the quotient when k^3 - 17k + 32 is divided by k + 5?
k^2
k
5k
k^3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when k^3 - 17k + 32 is divided by k + 5?
5
0
-8
8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the third example, what indicates that x - 2 is a factor of x^4 - 16?
The dividend is a factor
The divisor is a factor
The remainder is zero
The quotient is a polynomial
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in synthetic division?
Add the divisor to the dividend
Subtract the divisor from the dividend
List the coefficients of the polynomial
Multiply the divisor by the dividend
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In synthetic division, what do you do after listing the coefficients?
Add the divisor to the first coefficient
Multiply the divisor by the first coefficient
Bring down the first coefficient
Subtract the divisor from the first coefficient
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when x^2 + 3x - 43 is divided by x + 8 using synthetic division?
5
0
3
-3
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Remainder Theorem, what is P(3) for the polynomial x^4 + 0x^3 - 2x^2 - x + 122?
60
122
182
21
10.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Remainder Theorem state about the remainder of a polynomial division?
It is always zero
It is equal to the value of the polynomial at the divisor
It is always positive
It is equal to the leading coefficient
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