A curve is passing through origin

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A curve

g(x) = \int x^{27} (1+x+x^2)^4 (6x^2+5x+4)\,dx

is passing through origin. Then (a)

g(1) = \frac{3^7}{7}

(b)

g(1) = \frac{2^7}{7}

(c)

g(-1) = \frac{1}{7}

(d)

g(-1) = \frac{3^7}{14}