LESTER B. PEARSON C. I
Name:
Date:
MCR3U1
Assignment
2.1, 2.2
[10 marks]
Instructions: Clear well organized ( moderate size numbers and properly spaced )
answer 2 marks. Clearly show the steps ( how you arrive at your answer).
Answer alone 1 mark
1. 2 Simplify
(2𝑥2 − 4𝑥 + 3) − 2(5 − 𝑥)2 + 4
2
(2𝑥 − 4𝑥 + 3) = 2𝑥
2
− 4𝑥 + 3
2
= 2𝑥 − 4𝑥 + 3 − 2(5 − 𝑥)
2
2
+ 4​
2
=
− 2(5 − 𝑥)
+ 2𝑥 − 4𝑥 + 3 + 4​
=
− 2(5 − 𝑥9)
=
− 50 + 20𝑥 − 2𝑥 + 2𝑥 − 4𝑥 + 7
=
− 2𝑥 + 2𝑥 + 20𝑥 − 4𝑥 − 50 + 7
2
2
+ 2𝑥 − 4𝑥 + 7​
2
2
2
= 20𝑥 − 4𝑥 − 50 + 7
= 20𝑥 − 4𝑥 − 43
= 16𝑥 − 43
2
[K/3]
2
Factor 3𝑥 − 14𝑥 − 24
2.
2
3𝑥 − 14𝑥 − 24
2
= (3𝑥 + 4𝑥)​ + (− 18𝑥 − 24)
2
= 𝐹𝑎𝑐𝑡𝑜𝑟 𝑜𝑢𝑡 𝑥 𝑓𝑟𝑜𝑚 3𝑥 + 4𝑥: 𝑥(3𝑥 + 4)
= 𝐹𝑎𝑐𝑡𝑜𝑟 𝑜𝑢𝑡 − 6 𝑓𝑟𝑜𝑚 − 18𝑥 − 24:
− 6(3𝑥 + 4)
= 𝑥(3𝑥 + 4) − 6(3𝑥 + 4)​
= 𝐹𝑎𝑐𝑡𝑜𝑟 𝑜𝑢𝑡 𝑐𝑜𝑚𝑚𝑜𝑛 𝑡𝑒𝑟𝑚 3𝑥 + 4 = (3𝑥 + 4)(𝑥 − 6)
[K/5]