What is the simplest polynomial equation that can be written that has roots 4 and 1+2i

p(x) = x^3 -6x^2 +13x -20

Step-by-step explanation:

We presume you want a polynomial with real coefficients. If so, then there is another complex root, the conjugate of the one given. With three roots, the polynomial will be 3rd degree:

p(x) = (x -4)(x -1+2i)(x -1-2i) = (x -4)((x-1)^2 -(2i)^2) = (x -4)(x^2 -2x +5)

p(x) = x^3 -6x^2 +13x -20

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

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step-by-step explanation: