If Fiona is to divide the first expression by the second one, clearly only the first term of the first expression is divisible. The remaining terms of the fist expression will remain as the remainder. The remainder from the division done by Fiona should be 5x - 3.
Answer:
8x5=40
Step-by-step explanation:
0.62(55,200)=34,224 people registered
Answer:
a) 
b) 
c) 
d) There are two possible answers only considering real coefficients:
(i) 
(ii) 
e) 
Step-by-step explanation:
Now we proceed to solve each algebraic equation:
a) Factor 
This binomial is of the form 
. In this case, we can rewrite and factor the equation below:
b) Factor 
This binomial is of the form . In this case, we can rewrite and factor the equation below:
c) Nicole is factoring 
by using the rule . What will she use for the value of 
?
From this rule we find that 
, that is:
d) Which binomial is a difference of squares?
A binomial is a difference of square if and only if . There are two possible answers only considering real coefficients:
(i)
(ii)
e) Factor 
This binomial is of the form . In this case, we can rewrite and factor the equation below:
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
