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If binomial (3x+2) is a factor of some polynomial, then number is this polynomial s root. Check all polynomials:A. For the polynomial B. For the polynomial C. For the polynomial D. For the polynomial correct choice is B...

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Ответ:

igtguith

03.11.2021

Mathematics

If binomial (3x+2) is a factor of some polynomial, then number $x=-\dfrac{2}{3}$ is this polynomial's root. Check all polynomials:

A. For the polynomial 6x^3 + 3x^2 + 4x + 2,

$6\left(-\dfrac{2}{3}\right)^3 + 3\left(-\dfrac{2}{3}\right)^2 + 4\left(-\dfrac{2}{3}\right) + 2=-\dfrac{16}{9}+\dfrac{4}{3}-\dfrac{8}{3}+2=-\dfrac{10}{9}\neq 0.$