Let R be a commutative ring in which a²=0 only if a=0. Show that if q(x)∊R[x] is a zero
divisor in R[x], then if:
q(x)=a₀xⁿ+a1xⁿ⁻¹+c.......+an,
there is an element b≠0 in R such that ba₀=ba1=c.....=ban=0.