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I need help understanding how to find possible values of a, b, and c, so that the domain of the rational function (see below) is

I need help understanding how to find possible values of a, b, and c, so that the domain of the rational function (see below) is all real numbers and has 3 as a zero or root.

R(x)=(ax+b)/(ax2+bx+c)

(I've asked this question, but I am still confused.)

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