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

answer is more than one

step-by-step explanation:

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: