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anonymous
 5 years ago
divide using synthetic division
(5x^3  11x^2 17x +15) / (x3)
anonymous
 5 years ago
divide using synthetic division (5x^3  11x^2 17x +15) / (x3)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0write out the coefficients 5 11 17 15 3 15 12 15 ________________ 5 4 5 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now a word of explanation. you are dividing by x  3. list the coefficients and put a 3 down because you are dividing by x  3. drop the 5 3*5=15 11+15=4 3*4=12 17+12=5 3*5=15 15+15=0 you have divided a polynomial of degree 3 by a polynomial of degree 1 which gives a polynomial of degree 2. the coefficients are 5, 4 and 5 and there is no remainder so it divides evenly. that means \[\frac{5x^311x^217x+15}{x3}=5x^2+4x5\] or \[5x^311x^217x+15=(x3)(5x^2+4x5)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that also means 3 is a zero of the original polynomial that is, if \[f(x)=5x^311x^217x+15\] then \[f(3)=0\] because \[f(x)=(33)(5\times 3^2+4\times 35)=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops typo. i meant f(3)=0, not f(x) = 0. sorry.
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