Answer:



Step-by-step explanation:

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.

Now we are read to write that one part (the first three terms together) as a square:

I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

They put it in ( )

I'm going to go ahead and combine those fractions now:

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

I'm going to square root both sides to rid of the square on the x+b/(2a) part:


Now subtract b/(2a) on both sides:

Combine the fractions (they have the same denominator):

Base on my research there are ways to get the number of roots. If you are looking for negative roots and even the positive one has their own ways. But in this problem, we just need to determine the total number of roots of a polynomial. In determining the total number of roots, you just need to find the degree of the polynomial function. The degree refers to the highest exponent of the polynomial. Therefore, in the function given, 6 is the degree of the polynomial function. The total number of roots is 6.
Answer:
132
Step-by-step explanation:
720-588
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