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grant330sims
 4 years ago
Find the polynomial function with roots 1, –2, and 5
grant330sims
 4 years ago
Find the polynomial function with roots 1, –2, and 5

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0start with the polynomial in factored form, then multiply out

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0When x = 1,2 and 5 and f(x) = 0, then the factors are (x  1)(x + 2)(x  5) = 0. (x  1)(x + 2)(x  5) = 0 Multiplying each term by term and combining like terms, we obtain: (x² + x  2)(x  5) = 0 x³  5x² + x²  5x  2x + 10 = 0 x³  4x²  7x + 10 = 0 Hence, f(x) = x³  4x²  7x + 10. I hope this helps!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0since you know the zeros are 1, 2 and 5, you know it factors as \[p(x)=(x1)(x+2)(x5)\] although you do not know the leading coefficient is 1, so you are finding A polynomial, not THE polynomial
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