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#1 Help Me ! » Algebra » 2016-04-17 13:54:06
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Deletd
#2 Re: Help Me ! » Algebra Problem » 2016-04-14 14:58:04
Wait, it's false because we could have say f(x)=a(x+3)^5(x-4)(x-8) and it wouldn't work. How do you show a way to determine polynomial divisibility from roots?
(The second part)
#3 Re: Help Me ! » Algebra Problem » 2016-04-14 13:07:01
Wait but how do we know that b will divide a(x+5)(x-2)
#4 Re: Help Me ! » Algebra Problem » 2016-04-14 09:08:58
Oh I see. Thanks
#5 Re: Help Me ! » Algebra Problem » 2016-04-14 00:34:07
I don't get how to see the factors. I know I need a polynomial q(x) so that g(x) = f(x) * q(x), but I don't know how to prove it exists.
#6 Help Me ! » Algebra Problem » 2016-04-13 11:39:18
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Part 1:
Let
and be polynomials.Suppose
for exactly three values of : namely, and .Suppose
for exactly five values of : namely, and .Is it necessarily true that
is divisible by ? If so, carefully explain why. If not, give an example where is not divisible by .Part 2:
Generalize: for arbitrary polynomials
and , what do we need to know about the zeroes (including complex zeroes) of and to infer that is divisible by ?(If your answer to Part 1 was "yes", then stating the generalization should be straightforward; try to prove it. If your answer to Part 1 was "no", then try to salvage the idea by imposing extra conditions as needed.)
Can you please help? And if you do, can I have an explanation for how to do it? Thanks.
#7 Re: Help Me ! » Some math problems » 2016-04-12 12:09:06
I still don't get how to do 1.
Nevermind I got it. I was thinking too hard.
#8 Help Me ! » Some math problems » 2016-04-11 12:58:55
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1. Find all integers n for which
is an integer.2. Find a polynomial f(x) of degree 5 such that both of these properties hold:
f(x)-1 is divisible by
.f(x) is divisible by
.#9 Re: Help Me ! » Algebra (2?) Problem » 2016-04-08 10:52:32
Hi bobbym, I figured out how to do the problem, and it's an ellipse with equation x^2+9y^2=1 so you were correct!
#10 Help Me ! » Algebra (2?) Problem » 2016-04-07 13:12:08
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Describe the set of all points P with the following property: there exist points A and B on the unit circle such that AB is parallel to the y-axis and P is on AB with AP = 2PB.
#11 Re: Help Me ! » Geometric Proof » 2015-11-29 10:07:15
How do you know that AE bisects CP and BF bisects PD?
#12 Re: Help Me ! » some 3d stuff :D » 2015-10-05 14:25:15
I tried the problem too and got the same answer solar posted. However it was wrong.
#13 Re: Help Me ! » Geometry with Tangents » 2015-09-24 12:04:25
EOF would be 180-2x
And FDE would be 90-x
Okay, so I know FDE, but I just cant find out how to get FED and EFD. I can't find a way to get any more angle values that would help me.
Can you help fast? This problem is due extremely soon.
#14 Re: Help Me ! » Geometry with Tangents » 2015-09-23 10:07:24
Can you help a bit more? Thanks
Like, I understand the 5 properties now, but I'm stuck on how to use them.
EDIT Forgot a hint: Compute the angles of triangle $DEF$ in terms of the angles of triangle $ABC$.
#15 Help Me ! » Geometry with Tangents » 2015-09-22 14:15:40
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Let the incircle of triangle
be tangent to sides , , and at , , and , respectively. Prove that triangle is acute.
Any help is appreciated, thanks!
#16 Re: Help Me ! » Geometry Circle Problem » 2015-09-15 10:32:42
Thanks so much! I just forgot to square A_1, A_7, so I ended up with the sum of 22, not 24. Thanks again bob!
#17 Re: Help Me ! » Geometry Circle Problem » 2015-09-15 00:25:22
Yup, I got values in order: 2-\sqrt{3}, 1, 2, 3, 2+\sqrt{3}. Then A_1, A_7 = 2, because radius = 1. Then it just goes down 2+\sqrt{3}, 3, ... I summed those for 22. 22*12=264. 264/2 = 132. Is there anything I'm doing wrong?
#18 Re: Help Me ! » Geometry Circle Problem » 2015-09-14 11:43:16
I've tried 15 different possibilities, but I still can't get it. I don't know what I'm doing wrong.
I just don't know what to do with this problem anymore.
#19 Re: Help Me ! » Geometry Circle Problem » 2015-09-13 09:37:17
I see how to do it. Ugh, it's going to take so long
Can you please help even further? I got 114 + 1/2 + 10\sqrt{3}, which was wrong.
#20 Help Me ! » 2 Geometry Problems » 2015-09-12 15:22:33
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In rectangle
, we have and . Let be the midpoint of , and let be the point such that , , and and lie on opposite sides of . Find , in degrees.
Let
, , , be twelve equally spaced points on a circle with radius 1. Find(The sum includes the square of the distance between any pair of points, so the sum includes terms.)
#21 Help Me ! » Series » 2015-09-04 12:46:55
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1. Let
Find the largest so that2. Compute the sum
#22 Re: Help Me ! » Circle Geo Problems » 2015-09-04 12:45:39
Can someone help for problem 1?
EDIT: Nevermind, got it
#23 Re: Help Me ! » Geometry » 2015-09-02 11:04:43
I got everything but the last step. How do I prove that AD + BE + CF<P
#24 Help Me ! » Geometry » 2015-09-01 13:34:03
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In triangle
, the medians , , and concur at the centroid
(a) Prove that
.(b) Let
be the perimeter of Prove thatHint(s):
(a) Connect
(b) For one inequality, use part (a). For the other inequality, use the Triangle Inequality on triangles
, , and .#25 Help Me ! » Arithmetic Series » 2015-08-26 12:40:32
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PLease do not post answers. I just want hints.
Laverne starts counting out loud by 5's. She starts with
. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 5000, Shirley runs screaming from the room. What number did Laverne last say before Shirley flees?