Answer:
<h2>P(x) = (x+3)(x-2)^2</h2>
Step-by-step explanation:
Looking at the brackets you can see where the curve will intersect the x-axis.
The graph shows the curve intersecting at (0,-3) and (0,2).
This means:
x = -3
AND
x = 2
Rearrange the equations, equating them to 0.
x + 3 = 0
x - 2 = 0
This will be the values in the brackets.
Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.
Therefore your brackets are: (x+3)(x-2)(x-2)
Which can be simplified:
(x+3)(x-2)^2
Where ^2 means squared.
Tape diagrams are simple. Look at the picture I put in the comments
40% off means you are paying 60% of the original price ( 100% - 40% = 60%
Multiply the price of the coat by 60%:
65.00 x 0.60 = 39.00 ( sale price)
Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:
39.00 x 1.05 = 40.95
The final price is $40.95
R^3 * X
(=) 5^3 * 6
125 * 6
750
