POLYNOMIALS & FACTORING
Foundations of Mathematics 10
~SUBMISSION 4~
Be sure to show your WORK for all circled questions
1.
Convert 200 in to metres.
_______
2.
Simplify
_______
3.
54
Write 4 12 as an entire radical
Find the product of the following:
16. 3a(3a + 5) =
______________
17. a2(a2 + 2a) =
______________
18. (y – 3)(y +10) =
______________
19. (5m – 6)(5m + 6) =
______________
20. (x2 – y3)(x2 + y3) =
______________
_______
TRUE or FALSE?
4.
-1
4 = -4
2
3
83
__________
5.
8 =
__________ 21. (a – 1)(a2 – 3a + 4) =
6.
(-3)(-3)2 = -27
__________ 22. (a + 5)3 =
7.
250.5 = 5
__________
8.
2a 5 b 1 a 4
=
6a
3b
__________ 23.
9.
Write 68 in prime factored form ___________
________________
__________________
Factor completely:
24.
7x + 21
______________
6×4 + 9×10
______________
10.
What is the LCM of 20 and 30? ___________ 25.
x2 – 4x – 12
______________
11.
What is the GCF of 20 and 30? ___________ 26.
3m2 – 4m + 1
______________
12.
Simplify (3a2)(-2a4)2
81m4 – 16
______________
28.
x3 – 5×2 + 6x
______________
29.
4(a + b) – m(a+ b)
______________
x2 + 7xy – 18y2
______________
__________ 27.
Complete
13.
(3a4) x ( ? ) = 9a12
? = __________
14.
(m4) x ( ? ) = m12
? = __________
15.
(-3)(-3)(?)(a) = 27a3
? = __________ 30.
I verify that this Submission page has been completed by ______________________________
without assistance.
Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________
BONUS QUESTIONS (Optional) – 5 marks
1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)
ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENT
Question 1
If 6×2 +kx -1 is factored, what are all the possible values of K?
ANSWER _________
Question 2
Julio was asked to completely factor the expression 32a4 – 2b4.
His solution is 2(2a-b)(2a+b)(4a2+b2).
Is this solution correct?
ANSWER _________
Question 3
Multiply, combine the like terms and write answer in simplest form.
x(2x – 3)3 =
ANSWER _________
Question 4
A ladder is placed against a vertical building. The ladder touches the building 7 metres above the
ground. When the base of the ladder is moved 1 metre farther away from the wall, the top of the
ladder rests against the foot of the wall. Find the length of the ladder?
ANSWER _________
Question 5
Maxine was babysitting her two year old brother Gary. When
Maxine was out of sight, Gary took the aquarium and tipped it
on its side, so the water level was as shown. When Maxine
returned, she quickly grabbed the tank and returned it to a
horizontal position. Calculate the depth of the aquarium (in cm)
if the dimensions of the tank are 100 cm long, 60 cm wide and
40 cm high. (C is the midpoint of AB)
ANSWER _________