Given:
The quadratic equation is

To find:
The x-intercepts of the given equation.
Solution:
We have,

Splitting the middle term, we get



For x-intercepts, y=0.

Using zero product property, we get




So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.
Answer:
B
Step-by-step explanation: Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.
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:



Answer:
1. Likely.
2. Unlikely
3. Unlikely
4. Neither
5. Likley
Step-by-step explanation: