# SOLUTION: I need help writing a polynomial: Write a polynomial of the smallest degree with roots -8, 9, 10, and -11. Type your answer in standard form, with the equation equal to zero.

Algebra ->  -> SOLUTION: I need help writing a polynomial: Write a polynomial of the smallest degree with roots -8, 9, 10, and -11. Type your answer in standard form, with the equation equal to zero.       Log On

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 Question 552308: I need help writing a polynomial: Write a polynomial of the smallest degree with roots -8, 9, 10, and -11. Type your answer in standard form, with the equation equal to zero. Thanks!Answer by KMST(2478)   (Show Source): You can put this solution on YOUR website!If a polynomial has 9 for a root, (x-9) is a factor of the polynomial. A polynomial with roots -8, 9, 10, and -11, has as a factor I don't see an easier way, so I'll grit my teeth and multiply: That is the simplest polynomial for the answer, and it's in standard form. Multiplying it by a factor with x to any exponent would make it a polynomial of higher degree. Multiplying it by any number, would give you another acceptable answer, but would be unnecessary extra work. is a suitable answer.