Worksheetspolynomial practice
Total questions: 12
Worksheet time: 1hrs 5mins
Name
Class
Date
1.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
2.
4k2(6k2 + 9kq - 5q2)
a)
24k2 + 36k3q - 20k2q2
b)
24k4 + 36kq - 20k2q2
c)
24k4 + 36k3q - 20k2q2
d)
24k + 36 kq - 20 k2q
3.
What is the area of this rectangle?
(HINT: AREA=LENTH X WIDTH)
(HINT: AREA=LENTH X WIDTH)
a)
10x-4
b)
25x2-20x
c)
20x-16
d)
oooo look at the pretty bird!
4.
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 10
p(x) = x3 - 5x2 + 2x - 10
a)
0
b)
2x-10
c)
-2x-10
d)
2x+10
5.
Is (x-4) a factor of (x3 +x2 -16x-16)?
a)
YES
b)
NO
6.
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
7.
What is the remainder when a3 - 4 is divided by a+2?
a)
-2
b)
-6
c)
-12
d)
0
8.
Which binomial is a factor of
f(x)= x3 -6x2 +3x +10?
f(x)= x3 -6x2 +3x +10?
a)
x + 1
b)
x + 2
c)
x + 5
d)
x + 10
9.
What are the three factors for
(x3 -3x2 -4x +12) ÷ (x + 2)?
(x3 -3x2 -4x +12) ÷ (x + 2)?
a)
(x-2) (x+2) (x+3)
b)
(x-2) (x-2) (x+3)
c)
(x+2) (x+2) (x+3)
d)
(x-2) (x+2) (x-3)
10.
1. If P( -4) = 0, which of the following statements is true about P(x)?
a)
x+4 is a factor of P(x)
b)
P(x) = 0, has four negative roots
c)
4 is a root of P(x) = 0
d)
P(0) = - 4
11.
What is the remainder when (10x79 – 6) is divided by (x-1)?
a)
4
b)
3
c)
2
d)
1
12.
(x – r) is a factor of P(x) if and only if __________.
a)
P(r) ≠ 0
b)
P(r) = 1
c)
P(r) = 0
d)
P(r) has two negative roots
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