Posted: November 25th, 2015

POLYNOMIALS & FACTORING

POLYNOMIALS & FACTORING

1. Convert 200 in to metres. _______
2. Simplify 54 _______
3. Write 4 12 as an entire radical _______
TRUE or FALSE?
4. 4-1 = -4 __________
5. 8 3
2
= 3 8 __________
6. (-3)(-3)2
= -27 __________
7. 250.5 = 5 __________
8.
a
a b
6
2 5 ?1
=
b
a
3
4
__________
9. Write 68 in prime factored form ___________
10. What is the LCM of 20 and 30? ___________
11. What is the GCF of 20 and 30? ___________
12. Simplify (3a2
)(-2a4
)
2
__________
Complete
13. (3a4
) x ( ? ) = 9a12 ? = __________
14. (m4
) x ( ? ) = m12 ? = __________
15. (-3)(-3)(?)(a) = 27a3 ? = __________
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
) = ______________
21. (a – 1)(a2
– 3a + 4) = ________________
22. (a + 5)3
= __________________
Factor completely:
23. 7x + 21 ______________
24. 6×4
+ 9×10 ______________
25. x2
– 4x – 12 ______________
26. 3m2
– 4m + 1 ______________
27. 81m4 – 16 ______________
28. x3
– 5×2
+ 6x ______________
29. 4(a + b) – m(a+ b) ______________
30. x2
+ 7xy – 18y2
______________

BONUS QUESTIONS (Optional) – 5 marks

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 _________

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