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long division

Total questions: 12

Worksheet time: 41mins

Name
Class
Date
1.

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

a)

y = _(x + 2)(x - 1)2

b)

y = -(x - 2)(x + 1)2

c)

y = (x - 2)(x + 1)2

d)

y = -x3

2.

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

a)

(-2.55, 0), (2.55, 0)

b)

(-3, 0), (-2, 0), (2, 0), (3, 0)

c)

(0, 36)

d)

(0, -3), (0, -2), (0, 2), (0, 3)

3.

Based on the end behavior which option best describes the leading term?


Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

a)

negative coefficient, even degree

b)

negative coefficient, odd degree

c)

negative degree, odd coefficient

d)

negative degree, even coefficient

4.

(5p2+5p-26)÷(p+3)

a)

5p-10, R 4

b)

5p-12, R 1

c)

5p-13, R 8

d)

5p-10, R 5

5.
a)
x - 7
b)
x- 7
c)
x + 7
d)
x+ 3x - 54
6.
Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4  R(-12)
b)
2x² - 2x + 6  R(-23)
c)
2x² - 2x + 8  R(-20)
d)
2x² - 4x + 1  R0
7.
            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is  not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is  not a factor. There is a remainder. 
8.
a)
x + 5 + (2/2x - 4)
b)
x - 8
c)
x - 5 + (3/2x - 4)
d)
x + 5
9.
What does it mean to be a factor of a number?
a)
Divides evenly with a remainder of zero.
b)
Divides unevenly with a remainder of 1.
10.

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.

a)

True

b)

False

c)

Only for the dividend

d)

Only for the divisor

11.
The answer to a division problem is known as the...?
a)
product
b)
sum
c)
difference
d)
quotient
12.
If 𝒙2+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5