Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 9x3 + 4x2 – 6x + 9. The shop estimates their costs for that quarter to be given by 7x2 + 2x + 1. For the second quarter, find and simplify a polynomial that will represent their profit.
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OpenStudy (anonymous):
how do I work this ?
OpenStudy (anonymous):
Gosh, I want polynomial profit...
OpenStudy (anonymous):
Subtract the costs from the revenue to get profit..
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Go on thne, let's see..
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OpenStudy (anonymous):
9x3 + 4x2 – 6x + 9
minus 7x2 + 2x + 1
OpenStudy (anonymous):
U gonna do it?
OpenStudy (anonymous):
im working it out now on paper
OpenStudy (anonymous):
is it 9x ^3 - 10x correct
OpenStudy (anonymous):
U have gone a bit wrong there...
Forget the paper, look at the screen.
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
9x3 + 4x2 – 6x + 9
minus 7x2 + 2x + 1
OpenStudy (anonymous):
So for each "column" take the bottom one away from the top one....
OpenStudy (anonymous):
So the first one is 9x^3 take away nothing so
9x^3 is the first part of the answer.
OpenStudy (anonymous):
Now u do the next column.
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OpenStudy (anonymous):
4x ^ 2 u take nuthin from that either rite
OpenStudy (anonymous):
im sorry thats 4 x 2 = 8
OpenStudy (anonymous):
4x^2
7x^2
Take the bottom one away from the top one...
OpenStudy (anonymous):
3x ^ 2
OpenStudy (anonymous):
What's 4-7?
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OpenStudy (anonymous):
-3
OpenStudy (anonymous):
So -3x ^ 2, right?
Next column.
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
-6x
2x
Take the bottom away from the top.
OpenStudy (anonymous):
-4x
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OpenStudy (anonymous):
-6-2?
OpenStudy (anonymous):
-4
OpenStudy (anonymous):
-6+2?
OpenStudy (anonymous):
-8
OpenStudy (anonymous):
Right, -8.
And the last column is?
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OpenStudy (anonymous):
9 -1=8
OpenStudy (anonymous):
Right, now put all 4 pieces together...
OpenStudy (anonymous):
9x ^ 3 - 3x ^ 2 - 8 + 8
OpenStudy (anonymous):
-8x + 8, right?
OpenStudy (anonymous):
yes sorry
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OpenStudy (anonymous):
9x ^ 3 - 3x ^ 2 - 8x + 8
I don't think we can make that any simpler, so u r done.
OpenStudy (anonymous):
yes and thanku u ,u been a great help to me ,u made this very clear