WorksheetsPolynomial Basics
Total questions: 35
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
What is the degree classification of this polynomial?
x²+4x-8
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
2.
What is the term classification of the following polynomial?
x³-7x²+3
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
3.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
4.
What is the leading coefficient of the following polynomial?
5x²-3x+6
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
5.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
6.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
7.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
8.
Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)
(2x³+6x²+4x-2)-(x³+4x²-x)
a)
x³+2x²+5x-2
b)
x³+10x²+3x-2
c)
3x³+2x+4x-3
d)
3x³+10x²-3x-2
9.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
10.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
11.
(x - 4)(x - 6)
a)
x2 -10x + 24
b)
x2 - 10x - 24
c)
x2 +10x + 24
d)
x2 + 10x - 24
12.
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
13.
Simplify:
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
14.
Which of the following is a binomial?
a)
5x + 11
b)
x² + 3x + 6
c)
12x²y
d)
x² - 4x + 10
15.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
16.
Multiply:
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
17.
Which of the following is a 5th degree trinomial with a leading coefficient of -2?
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
18.
What is the leading coefficient?
f(x)=5x²+3x³-2x+1
f(x)=5x²+3x³-2x+1
a)
5
b)
3
c)
-2
d)
1
19.
What is the Degree of the Polynomial?
5x3 - 6x + 1
a)
Linear
b)
Quadratic
c)
Cubic
d)
Quartic
20.
What is the Degree of the Polynomial?
5x3 - 6x + 1
a)
Linear
b)
Quadratic
c)
Cubic
d)
Quartic
21.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
22.
Classify by the DEGREE:
3x - 2
3x - 2
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
23.
When a polynomial is written in standard form, the coefficient of the first term is called the _____________.
a)
Boss coefficient
b)
Leading coefficient
c)
Best coefficient
d)
Greatest common coefficient
24.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
7x3 - 11x2 + 8x - 5
a)
True
b)
False
25.
What is the term classification of the following polynomial?
x³-7x²+3
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
26.
-x3(9x4 - 2x3 + 7)
a)
-9x12 + 2x9 - 7x3
b)
9x7 - 2x6 + 7x3
c)
-9x7 - 2x3 + 7
d)
-9x7 + 2x6 - 7x3
27.
Simpliy: 3x2+5x2
a)
8x
b)
2x2
c)
8x2
d)
2x
28.
Identify the degree of the monomial:
8a3
8a3
a)
8
b)
1
c)
3
d)
11
29.
5x2(2x - 3)
a)
5x2 + 2x - 3
b)
10x3 - 15x2
c)
-5x2
d)
7x3 - 15x2
30.
Identify the constant term:
4x3 + 2x - 9
4x3 + 2x - 9
a)
4
b)
-2
c)
-9
d)
9
31.
How many terms does this expression have:
-27a3 + 9a2 - 45a
-27a3 + 9a2 - 45a
a)
what are terms?
b)
0 terms
c)
-45 terms
d)
3 terms
32.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
33.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
34.
Combine Like Terms:
2x - 4x + 12x2
2x - 4x + 12x2
a)
12x2 - 2x
b)
10x
c)
10x2
d)
12x2 + 2x
35.
Combine like terms:
5x2+ x - x2+ 4x
5x2+ x - x2+ 4x
a)
6x2 + 5x
b)
4x2 + 3x
c)
4x2 + 5x
d)
5x2 + 5x
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