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anonymous
 5 years ago
Solve using long division( x^44x^21)/x4 I know what the answer is but dont understand how to get it
anonymous
 5 years ago
Solve using long division( x^44x^21)/x4 I know what the answer is but dont understand how to get it

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0do you recall how to do regular long division with numbers?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.youtube.com/watch?v=l6_ghhd7kwQ he is really helpful

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0recall that when we get a "solution" that we "subtract" to get a remainder... like: 1 < 3 time 1 = 3; so we 3 from 4  3  40 3 < subtract 3 to get  10 < we get a 1 and bring down the '0' to start again

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its the same steps with dividing polynomials.... just remember to subtract...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^3 <(x^3)(x4) = (x^4 4x^3)  x4  x^4 4x^2 1 x^4 +4x^3  4x^3 4x^2 1 < bring down what doesnt cancel out and start over

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^3 +4x^2 <(why 4x^2 ?)  x4  x^4 4x^2 1 x^4 +4x^3  4x^3 4x^2 1 4x^3 +16x^2  12x^2 1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^3 +4x^2 +12x +48  x4  x^4 4x^2 1 x^4 +4x^3  4x^3 4x^2 1 4x^3 +16x^2  12x^2 1 12x^2 +48x  48x 1 48x +192  191 < remainder :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the total answer is: 191 x^3 +4x^2 +12x +48 +  x4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol i was sittin here i figured it out too i was butsting my brain trying to remember its been so long since long division i was forgetting about the place holders thank you again :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay your a smart cookie help me with this one i got the answer but i dont understand what it means by finding the zeros of f? the problem was once again synthetic division to divide x^3 +8x^23x90 by X=5 i got X^2+3x18 as the answer which is said to be correct but i dont understand the zeros question. it gave 6,5.3 as the answers where did it come from

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0finding the zeros means that you want to find the x intercepts of the graph; which only happen when y=0

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0suppose we are given the equation: y = 5x+20; what would the zero be for this: 0 = 5x + 20 when x = ?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0also, when the synthetic division has a remainder of "0"; you know that it is a factor :) 5  1 +8 3 90 0 +5 +65 +310  1 +13 +62 ...... < not a zero... did I typo it?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yes, the zero for that linear equation is 4 :) also known as a root

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.05  1 +8 3 90 0 5 15 +90  1 +3 18 0 < better; so when x=5 we get a root, a zero

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x+5) is a factor then.. (x+5)(x^2 +3x 18)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when we factor out the quadractic we get... x^2 +3x 18 = (x+6)(x3)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0all our factors of the cubic are then: (x+5)(x+6)(x3) = 0 ; remember when you multiply by '0' you get zero 5(0) = 0 143(0)=0 3(0)(16) = 0 in other words, there are 3 solutions here....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(0)(x+6)(x3) = 0 when x=5 (x+5)(0)(x3) = 0 when x= 6 (x+5)(x+6)(0) = 0 when x=3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok im still following so were good lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0our zeros, our roots, our y=0, our x intercepts are when :) x= 6,5,3

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=x%5E3+%2B8x%5E23x90+from+7+to+4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you can see from that that the graph cross the x axis at 6, 5 and 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank u sooooo much lol im havin a hard day full of brain farts

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0:) theyll clear out by suppertime :)
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