Prepare for the BC Math 10 Provincial Exam by working through this Polynomials Chapter Test. This course is also known as Precalculus 10.

1. www.provincialexam.ca | BC Math 10 Provincial Exam Practice Questions
Polynomials Practice Test Name: ______________________ Period: _____
1) Factor 3 4 2 2 3 2 2 2
4 12 6a b c a b c a b c
Hint: only one factoring step required
Answer: 2 2 2
2 (2 6 3)a b c ab c bc
2) Factor 2
2 15a a
Answer: ( 3)( 5)a a
3) The prime factorization of three numbers, A, B, C, is shown below:
A = 14 2
2 3 5
B = 2 2 4
2 3 5
C = 2 1
2 5 11
Determine the greatest common factor of these three numbers.
Answer: 20
4) What is the GCF and LCM of 12, 16, and 40?
Answer: GCF is 4; LCM is 240
5) Gear 1 has 8 teeth. Gear 2 has 6 teeth. How many gear 1 rotations until
gear 1 realigns with gear 2 in the exact same spot?
Answer: 3

2. 6) True or false. For any two different positive integers, the GCF is
always smaller than the LCM.
Answer: True
7) You simplify the expression ( )( )x p x q , where 0p and 0q ,
to the form 2
x gx h . What must be true about g and h ?
Answer:
g is negative; h is positive
8) When factoring 2
7 12x x to the form ( )( )x a x b , which of the
following are true? Choose MORE than one answer.
I. 7ab , 12a b
II. 12ab , 7a b
III. 0a and 0b
IV. 0a and 0b
V. 0a , 0b OR 0a , 0b
Answer: II, IV
9) Factor 2
10 13 3x x
Answer: (5 1)(2 3)x x
10) How many factors? 2
2 8x
Answer: 3

3. 11) The area of a rectangle is 2
2 5 3x x . One of the sides has a length of (2 1)x .
What is the length of the other side?
Answer: 3x
12) How many possible k values? 2
8 4x kx .
Answer: 6
13) Factor 3 4 12xy x y
Answer: ( 4)( 3)x y
14) Complete the algebra tile diagram that represents the factoring of 2
4 9x
Answer:

4. 15) You expand and simplify: 2
( 3)( 2 5)x x x , as shown below:
Steps
I. 2 2
( 2 5) 3( 2 5)x x x x x
II. 3 2 2
2 5 3 6 15x x x x x
III. 3 2
5 11 15x x x
In which step is your first error?
A. Step I
B. Step II
C. Step III
D. There is no error.
Answer: C
16) One of the factors of 2
5 6x x k is ( 1)x . Solve k .
Answer: 1
17) You are asked to factor 2
2 1x x and represent it with math tiles.
You already have the following tiles:
What additional tiles do you need to represent the total area of the two factors?
Answer:
Two x tiles