WorksheetsFactoring Part 2
Total questions: 25
Worksheet time: 25mins
Write the difference of two squares a2 - 36b2 as the product of two binomials.
(a – b)(a – b)
(a + 6b)(a – 6b)
(a + 6b)(a + 6b)
(a − 6b)(a − 6b)
One of the factors of y2 - 25 is (y - 5) . What is the other factor?
(y + 5)
(y - 5)
(y + 20)
(y - 20)
What is the factored form of x2 - 121y2?
(x + y) (x - y)
(x + 11y) (x + 11y)
(x + 11y) (x - 11y)
(x - 11y) (x - 11y)
Each member of your group was asked to evaluate the two expressions, A = 4x2 – 81 and B = (2x – 9) (2x + 9) when x = 2. As a leader, which of the following responses from your group mates will you consider as the correct answer of your group: Ana: A > B Alice: A < B Anton: A = B Ariel: A not = B
Ana
Alice
Anton
Ariel
Which of the following is a sum of two cubes?
x3 + 4
x3 + 8
x2 + 1
x2 - 1
Which of the following DOES NOT have a perfect cube root?
729b6
412y3
27m3
8a12
What is the factored form of 27a3 + 8b3 ?
(3a + 2b)2
(3a + 2b)(9a2 + 4b2)
(3a + 2b)(9a2 - 12ab + 4b2)
(3a + 2b)(9a2 - 6ab + 4b2)
What are the factors of 729 - 8b6?
(9 - 2b2) and (81 + 18b2 + 4b4)
(9 + 2b2) and (81 + 18b2 + 4b4)
(9 - 2b2) and (81 - 18b2 + 4b4)
(9 + 2b2) and (81 - 18b2 + 4b4)
Factor completely: 3x2 - 27
3(x2 + 9)
3(x2 - 9)
(x + 3)(x - 3)
3(x + 3)(x - 3)
If factored completely, t3 + t2 – t – 1 is equal to _____.
(t2 – 1)(t + 1)
(t + 1)(t – 1)
(t +1)2 (t – 1)
(t – 1)2(t + 1)
Factor completely the expression x2 – y2 + x – y.
(x+ y)(x – y)
(x + y)(x – y + 1)
(x – y)(x + y + 1)
(x – y)(x – y + 1)
If two of the factors of (y4 - 16) are (y + 2) and (y - 2), what then is the other factor?
(y2 - 1)
(y2 + 2)
(y2 + 4)
(y2 - 4)
Which of the following is factored completely?
(a2 + b2) (a2 – b2)
(a + b) (a – b)2
5x2 + 15x – 10
(3x + 6) + (x + y) (x – y)
The complete factored form of 2x2 + 6x + 4 is ______.
(2x + 4)(x + 1)
2(x2 + 2x + 2)
2(x + 2)(x + 1)
(x + 2)(x + 1)
The polynomial x3 + 11x2 + 10x, when factored completely yields the factors _______.
(x + 1) and (x + 10)
(x2 + 1) and (x + 10)
x (x + 1)(x + 10)
NONE OF THESE
The volume of a rectangular prism is (125 + x3) cm3. If its height is (25 - 5x + x2) centimeters, what is the area of its base?
(5 + x) cm2
(25 + x) cm2
(5 - x) cm2
(25 - x) cm2
If x3 – 64y3 candies are divided equally among (x – 4y) children, how many candies each child receive?
A. x2 + 8xy + 16y2
x2 – 8xy + 16y2
x2 + 4xy + 16y2
x2 – 4xy + 16y2
If the area of the square patio is x2 + 8x + 16 , what are its length and width?
(x - 2) and (x + 4)
(x + 8) and (x + 8)
(x - 4) and (x - 4)
(x + 4) and (x + 4)
The volume of a gas in a cylinder is 8a3 – 27b3. If the height of the cylinder is 2a – 3b cm, what is the area of the bottom of the cylinder?
4a2 + 6ab + 9b2 cm2
4a2 – 6ab – 9b2 cm2
4a2 – 6ab + 9b2 cm2
4a2 + 6ab – 9b2 cm2
The Math club officers prepared two tarpaulins in celebration for the Mathematics month in their school. If the tarpaulins cost 12x2 – 14x – 10 pesos, and one tarpaulin costs 3x – 5 pesos, how much is the other tarpaulin?
4x - 2
4x - 10
4x + 2
4x + 10
A circular garden has an area of (x2 + 6x + 9)π square meters. How long in meters is the distance of the entrance point to the fountain located at the center of the garden?
x + 3
x - 3
x + 6
x + 9
What is the complete factored form of x4 – 16?
(x2 + 4)(x2 – 4)
(x2 + 4)(x + 2)(x – 2)
(x2 + 4)(x – 2)( x – 2)
(x2 + 4)( x+ 2)(x – 2)
A circular garden has an area of (x2 + 6x + 9)π square meters. How long is the fencing material needed to enclose the entire garden?
(2x – 6)π meters
(2x + 6)π meters
(2x + 12)π meters
(2x + 18)π meters
Mr. Peter is preparing to paint a rectangular wall with an area of (3x2 - 2x - 5) square meters. If the width of the wall is (x + 1) meters, what is its length in meters?
3x - 5
5x - 3
3x + 5
5x + 3
Mr. Peter is preparing to paint a rectangular wall with an area of (3x2 - 2x - 5) square meters. If x = 2, what is the actual area of the wall to be painted?
1 square meter
2 square meters
3 square meters
4 square meters
