Respuesta :

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division

The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

How to divide the polynomial?

The polynomial functions are given as:

a(x) = -18x² - 6x + 12

b(x) = 3x³ + 9x - 1

The quotient equation is given as:

a(x)/b(x) = q(x) + r(x)/b(x)

Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:

q(x) = 0

And the remainder r(x) is:

r(x) = a(x)

Substitute known values

r(x) = -18x² - 6x + 12

Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

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