WorksheetsKeystone Review (Polynomials & Factoring)
Total questions: 18
Worksheet time: 35mins
Name
Class
Date
1.
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
2.
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
3.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
4.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
5.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
6.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
7.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
8.
Factor x2+4x-32
a)
(x+8)(x-4)
b)
(x-8)(x-4)
c)
(x-8)(x+4)
d)
(x+8)(x+4)
9.
Factor x2-6x+8
a)
(x-4)(x-2)
b)
(x+4)(x+2)
c)
(x-4)(x+2)
d)
(x+4)(x-2)
10.
What is the degree of this term?
-7xyz2
-7xyz2
a)
3
b)
4
c)
-7
d)
7
11.
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
5b3 - 3 + 6b
a)
3rd degree binomial
b)
3rd degree monomial
c)
3rd degree trinomial
d)
1st degree polynomial
12.
What is the constant in the polynomial?
-2xyz + 3x2 - 2y2 - 6z2 + 32
-2xyz + 3x2 - 2y2 - 6z2 + 32
a)
-2
b)
3
c)
-6
d)
32
13.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
14.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
15.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
16.
Solve the equation by factoring:
x2 + x - 20 = 0
x2 + x - 20 = 0
a)
x = -5 and 4
b)
x = 4 and 5
c)
x = 5 and -4
d)
x = -4 and -5
17.
Solve using square roots. x2 - 4 = 0
a)
x = 2
b)
x = 2 or -2
c)
x = -2
d)
x = 16 or -16
18.
Convert x2 - 9x + 20 to factored form and solve.
a)
(x-10)(x+2); x = -2, 10
b)
(x+4)(x+5); x = -5, -4
c)
(x-4)(x-5); x = 4, 5
d)
Not factorable
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