Find the indicated term in the product.
(3x+x^3-7x^5)(1+4x-3x^2) for x^3
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OpenStudy (toxicsugar22):
can u help me
OpenStudy (toxicsugar22):
can someone help
OpenStudy (toxicsugar22):
blexting can u help me
OpenStudy (anonymous):
Sure
OpenStudy (anonymous):
There is a long way and a short way.
the long way is to multiply this out.. you would distribute 3 times.
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OpenStudy (anonymous):
Or. you could look at how can I get x^3 by multiplying terms. If you are not that good at math we should do it the long way.
OpenStudy (anonymous):
(3x + x^3 - 7x^5) (1) = 3x + x^3 - 7x^5
(3x + x^3 - 7x^5)(4x) = 12 x^2 + 4x^4 - 28x^6
(3x + x^3 - 7x^5)(-3x^2) = -9x^3 - 3x^5 + 21x^7
Now we only look at the x^3 terms.
I see a x^3 and -9x^3 so if you add those we get -8x^3
OpenStudy (toxicsugar22):
ok
OpenStudy (toxicsugar22):
that is the answer
OpenStudy (anonymous):
Yes
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OpenStudy (toxicsugar22):
thanks and can u help me with one more
OpenStudy (anonymous):
Sure
OpenStudy (toxicsugar22):
ok
OpenStudy (toxicsugar22):
it bassicly the same thing
OpenStudy (toxicsugar22):
is that okay
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OpenStudy (anonymous):
Yes
OpenStudy (toxicsugar22):
Find the indicated term in each product
(4+2x-x^2)(2-3x+2x^2) for x^2
OpenStudy (anonymous):
(4 + 2x - x^2)(2) = 8 + 4x - 2x^2
(4 + 2x - x^2)(-3x) = -12x - 6x^2 + 3x^3
(4 + 2x - x^2)(2x^2) = 8x^2 + 4x^3 - 2x^4
do you understand how I get these?
OpenStudy (toxicsugar22):
yes
OpenStudy (anonymous):
OK.. now look at all the terms on the right. typically we would add all of these up to get the answer, but they only want the x^2 term
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OpenStudy (anonymous):
So I see... -2x^2 and -6x^2 and 8x^2
OpenStudy (anonymous):
So add those up.
-2x^2 - 6x^2 + 8x^2 = 0x^2 so actually you have no x^2 terms in the answer. So I guess I would say 0x^2