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anonymous
 3 years ago
HELP ME PLEASE! Write a polynomial function in standard form with zeros at 5, 2, and 1.
anonymous
 3 years ago
HELP ME PLEASE! Write a polynomial function in standard form with zeros at 5, 2, and 1.

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Think of it this way, instead of solving a polynomial equation and getting x=a, x=b, x=c, you have the answer and you're going backwards. If you had a polynomial equation that factored into (x  3)(x + 5)(x 2)= 0, the next step would be x 3 = 0 or x + 5 = 0 or x  2 = 0, and the answer would be x = 3 or x = 5 or x = 2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0zero means x=0 x=2 or x2=0 x=5or x5=0 (x)(x2)(x5) The resultant equation is \[x^{3}7x^{2}+10x\]

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Now look at the last line and go backwards. In your problem here, you are given x = 5, x = 2, x = 1 Go 1 step back: x  5 = 0 or x  2 = 0 or x  1 = 0 Go 1 more step back (x  5)(x  2)(x  1) =0 Now multiply these 3 binomials together, collect like terms and write the answer in descending order of the power of x.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Be careful, shahzadjalbani misread the problem and thinks there is a zero at 0. His solution is correct for the problem he solved, but it's not your problem.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Multiply the first two binomials using foil. Then multiply by the third one.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0(x  5)(x  2)(x  1) = 0 (x^2  2x  5x + 10)(x  1) = 0 (x^2  7x + 10)(x  1) = 0 continue...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh sorry x=1 x1=0 x=2 x2=0 x=5 x5=0 Multiply (x1)(x5)(x2) The result would be x^38x^{2}+17x10
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