WorksheetsFactoring polynomial practice
Total questions: 137
Worksheet time: 10hrs 46mins
(x - 3)(x - 3)?
x2 + 7x - 30
x2 + 9x - 36
v2 + 3v - 88
x2 -15x + 36
3x2 + 18x +15
Hint: Factor GCF first.
n2-13n+40
3v2 - 4v - 7
w4 - 625
(w2 + 25) (w2 - 25)
(w2 - 25) (w2 - 25)
(w2+ 25) (w+5) (w-5)
(w+25)(w-25)
Factor
k4+7x2+10
(k2+2)(k2+5)
(k2-2)(k2-5)
(k+10)(k+4)
(k+2)(k+5)
3x2 + 18x +15
Hint: Factor GCF first.
x2 - 9x + 18
81m2 - 1
2x² - 3x - 2
3x² + 5x - 12
4p³+8p²+3p+6
4p³+8p²+3p+6
7x3 – 8x2 + 9
8n3 + 2n2
18a2-15a
Find the factors of
3b2 + 17b + 20
(2b - 5)(b - 7)
(5b - 7)(b - 2)
(b + 5)(3b + 4)
(3b + 5)(b + 4)
n2 + 16n + 63
v2 + 3v - 88
Find the factors of
x2 + x - 6
(x - 6)(x - 9)
(x + 3)(x + 2)
(x + 3)(x - 2)
(x + 2)(x + 4)
Find the factors of
x2 - 5x - 36
(x + 4)(x - 9)
(x - 4)(x + 9)
(x - 9)(x + 6)
(x + 4)(x + 9)
x2 -16x + 48
n2 + 16n + 63
k2 - 2k - 24
Factor Completely:
3x2 + 18x +15
3(x2 + 6x + 5)
(x + 5)(x + 1)
3(x + 5)(x + 1)
Prime
Which expression is a common factor of x2+7x+6 and
x2+10x +24?
x+1
X+4
x+6
x+8
Pat
Sam
Mel
Lee
Which of these shows the following expression completely factored?
6x2-13x+5
(3x-1)(2x+5)
(3x-5)(2x-1)
(3x-1)(2x-5)
(3x-5)(2x+1)
Identify all the factors of the expression 18x2-9x-5.
Select all that apply.
2x+5
6x-5
18x-5
3x+5
3x+1
The area of a swimming pool is 10x2-19x-15. The length of the pool is 5x+3. What is the width of the pool?
2x-18
2x-5
5x-5
5x-22
How many terms does it have?
Is there a GCF?
What strategy should I use?
Why do I have to learn this?!?!?!
Factor completely:
x2 + 9x - 36
(x + 12)(x - 3)
(x + 9)(x - 4)
(x - 12)(x + 3)
(x - 9)(x - 4)
Factor completely:
5n³-10n²+3n-6
(5n²+3)(n-2)
(5n²-3)(n-2)
(5n³+3)(n-2)
10n(n²-6)
Factor completely:
81m2 - 1
not factorable
(m-9)(m+9)
9m(9m-1)
(9m-1)(9m+1)
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3(x2 + 6x + 5)
(x + 5)(x + 1)
3(x + 5)(x + 1)
Cannot be factored
Factor completely:
3x² - 7x + 2
(x - 1) (3x + 2)
(x - 2) (3x -1)
(x - 1) (3x - 2)
(x + 2) (3x + 1)
Factor completely:
8x3-27
(2x+3)(4x2-6x+9)
(2x-3)(4x2+6x+9)
(2x-3)(4x2+6x-9)
(2x-3)(2x2+6x+9)
Factor completely:
4h² - 12h + 9
(2h - 3)²
4(h + 9)(h + 1)
(2h - 3)(2h + 3)
(h - 9)(4h - 1)
Factor 5x2 -13x + 6
(5x -2)(x-3)
(5x -3)(x-2)
(5x -13)(x-2)
(5x +3)(x+2)
What are the factors of 7x2 + 16x + 4?
(7x + 4) (x + 1
(7x - 2) (x - 2)
(7x + 2) (x + 2)
(7x - 2) (x + 2)
3v2 - 4v - 7
(3v-7)(v+1)
3(v-7)(v-1)
(3v+1)(v-9)
(3v+1)(v-10)
Factor:
2x² + 3x - 9
2(x + 3)(x - 3)
(2x - 3)²
(x + 3)(2x - 3)
(2x + 3)(x - 3)
The trinomial 4x2 -20x + 25 is factorable.
Which of these is the correct factorization?
(2x+5)(2x-5)
(2x−5)(2x−5) Or (2x−5)2
(2x+5)(2x+5) Or (2x+5)2
(x−5)(4x−5)
Find the factors of
3b2 + 17b + 20
(2b - 5)(b - 7)
(5b - 7)(b - 2)
(b + 5)(3b + 4)
(3b + 5)(b + 4)
Find the factors of
2x2 + 21x + 10
(2x + 1)(x + 10)
(3x + 10)(x - 6)
2(x + 1)(x + 5)
2(x + 1)(x - 10)
Factor 2x2 + 4x – 3x – 6 by grouping. Remember to look for Standard Form, then for common factors.
(2x – 3)(x + 2)
2x2 + x - 6
(2x + 3)(x - 2)
Factor x3 – 2x – 4x2 + 8 by grouping. Remember to look for Standard Form, then for common factors.
x3 - 4x2 - 2x + 8
(x – 4)(x2 – 2)
(x – 2)(x2 – 4)
Factor by grouping:
5n³-10n²+3n-6
(5n²+3)(n-2)
(5n³+3)(n-2)
(5n²-3)(n-2)
10n(n²-6)
10x2 + 15x-5
4b5+4b3+16b2
k2+7x+10
3v2 - 4v - 7
5x2-28x+32
4x2-25x+25
63x4 - 7x2 + 28x
39y5 + 12y4 - 3y3
3a2 + 4a + 1
3x3-x2+6x-2
Find the GCF
x2 + x - 6
x2 - 17x + 72
x2 - 12x + 35
x2 + 8x + 16
x2 + 9x - 36
x2 + 7x - 30
n2 + 5n - 6
a2 - a - 12
x2 -16x + 48
k2+7x+10
n2 + 16n + 63
k2 -2k - 24
x³+7x²-2x-14
What are the remaining factors for
(x3 +x2 -17x +15) if (x -1) is a factor? (use synthetic division)
(x-1) (x+5) (x-3)
(x-1) (x+5) (x + 3)
(x+1) (x+5) (x-3)
(x+1) (x-5) (x-3)
Write x3 + 9x2 + 18x in factored form
x(x + 6)(x + 3)
x(x + 9)(x + 2)
x(x + 6)
x(x - 6)(x - 3)
16x2 - 20xy
Write x3 + 9x2 + 18x in factored form
x(x + 6)(x + 3)
x(x + 9)(x + 2)
x(x + 6)
x(x - 6)(x - 3)
Factor: x4 − 7x2 − 18
(x + 3)2(x2 − 2)
(x − 3)2(x2 + 2)
(x2 + 9)(x2 − 2)
(x − 3)(x + 3)(x2 + 2)
What method should you use to factor the polynomial?
8r3 - 16r2
Factor by Grouping
Factor out the GCF
Difference of Squares
Master Product
What method should you use to factor the polynomial?
x2 - 36
Factor by Grouping
Factor out the GCF
Difference of Squares
Master Products
8r3 - 16r2
4r2(2r - 4)
8r2(r - 2)
8(r3 - r2)
4(r3 - 2r2)
Factor Completely.
4x2+24x−64
4(x+8)(x−2)
4(x2+6x−16)
4(x2+24x−16)
4(x−8)(x+2)
Factor: x2 - 400
( x - 200) ( x + 200)
( x + 20) ( x + 20)
Prime
( x - 20) ( x + 20)
x2-4x-32
n2 + 16n + 63
5x3+10x2−15x, what′s the GCF?
(a)
22x2+33x+88, what's the GCF?
(a)
Factor:
9m4 + 27m2
9m2(m2 + 3)
9(m4 + 3m2)
m2(9m2 + 27)
3m(3m2 + 9)
4x2 - 25
(2x + 5) (2x - 5)
(2x - 5)2
(2x + 5)2
2x + 5(2x - 5)
25x2 - 36y2
5x + 6y(5x - 6y)
(5x + 6y) (5x - 6y)
(5x + 6y)2
(5x - 6y)2
