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1.) Find a polynomial of degree that has zeros 1, 1 and 1/2 and whose leading coefficient is 3.
2.) Find the value of k such that x+3 is a product of P(x) = x^2  10kx + 6
 one year ago
 one year ago
1.) Find a polynomial of degree that has zeros 1, 1 and 1/2 and whose leading coefficient is 3. 2.) Find the value of k such that x+3 is a product of P(x) = x^2  10kx + 6
 one year ago
 one year ago

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moongazerBest ResponseYou've already chosen the best response.1
My answer for no. 1 is \[3x^3 ( 3x^2/2)  3x + (3/2)\] but my teacher said there should be no fractions
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
then multiply all the terms by 2(the denominator) to get rid of the fraction
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
but the leading coefficient will not be 3???
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
dw:1343106002554:dw
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
What does it mean by leading coefficient?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
http://4.bp.blogspot.com/_lvMAEEKgEx8/TM6ebuxxeYI/AAAAAAAAAhA/PMyxtcHq5hI/s320/a.gif
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
isn't that your answer does not have a leading coefficient of 3 ?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
you did a mistake in multiplying.
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
(x1)(x+1)(x1/2) = 0 try again.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
I did (x1)(x+1)(2x1) = 0 is it the same as (x1)(x+1)(x1/2) = 0 ??
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
I got\[x^3+( x^2/2) (x/2)+(1/2)\] I checked it twice :)
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
@saifoo.khan is this correct?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
Now this is correct!! :D
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
NOw get rid of 2 in the denominators, multiply the whole expression by 2.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
\[2x^3 + x^2  x + 1\]
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
How will I make it into 3?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
Are decimals allowed?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
he said there is no fractions
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
SInce your teacher said NO FRACTIONS.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
that's why I am confused :) or maybe I misheard him :)
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
We can multiply the equation by 1.5 to make the leading coef as 3. :D
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
maybe he is referring to (2x1) and (x1/2)
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
2x1 and x1/2 is same.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
so my answer I think is \[3x^3 + (3x^2/2)  (3x/2) + (3/2)\] that's the only expression I can have to make the leading coefficient equal to 3
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
3x^3 + 1.5x^2  1.5x + 1.5 NO FRACTIONS!!! :D
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
lol, I'll just include that to my answer :)
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
how about for the second one ?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
HAHA. http://funnypicturesblog.com/wpcontent/uploads/funnypictures/Likeaboss.jpg
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
That question looks like a challenge!!
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
it should be P(x) = x^2  10kx + 6
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
Find the value of k such that x+3 is a product of P(x) = x^2  10kx + 6 (3)^2  10k(3) + 6 = 0 9 + 30 k + 6 = 0
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
I got k = 1/2 but why did you made x into 3?
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
Because since it's a product of it, the remainder is 0.
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.1
So we insert the factor and set the equation = 0.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
Thanks, I understand it :)
 one year ago
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