Find all the zeros of the function and write the polynomial as a product of linear factors. f(x) = x^3 + 11x^2 + 39x + 29. So I think that I might need to use synthetic division, but I'm not sure. The teacher didn't explian this to me. Any help?
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Originally Posted by tsmith Find all the zeros of the function and write the polynomial as a product of linear factors. f(x) = x^3 + 11x^2 + 39x + 29. So I think that I might need to use synthetic division, but I'm not sure. The teacher didn't explian this to me. Any help? HI Factorise f(x) , do you know how ? is complex , you can always check its discriminant . is a factor because Then you can do the long division to get its quadratic factor . So the zero of this polynomial would be -1 because -1 makes
[I]factor: x^3 + 11x^2 + 39x + 29 = (x + 1)(x^2 + 10x + 29) = (x + 1)(x + (5 - 2i))(x + (5 + 2i))
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