SOLUTION: what polynomial when divided by 9Y^3 yields 5y^2-6y+2 as a quotient calculator

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Question 920720: what polynomial when divided by 9Y^3 yields 5y^2-6y+2 as a quotient calculator
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
"quotient calculator"?
"Y"?

p, a polynomial to be used as a dividend.

p%2F%289Y%5E3%29=5y%5E2-6y%2B2, and you want to solve for p.

%28p%2F%289Y%5E3%29%299Y%5E3=%285y%5E2-6y%2B2%29%289Y%5E3%29
highlight%28p=%285y%5E2-6y%2B2%29%289Y%5E3%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Fb=c
b=9y%5E3 yields c=5y%5E2-6y%2B2
a%2F9y%5E3=5y%5E2-6y%2B2
a=%285y%5E2-6y%2B2%299y%5E3
a=5y%5E2%2A9y%5E3-6y%2A9y%5E3%2B2%2A9y%5E3
a=45y%5E5-54y%5E4%2B18y%5E3
so, polynomial 45y%5E5-54y%5E4%2B18y%5E3 yields 5y%5E2-6y%2B2 when divided by 9y%5E3