A quadratic polynomial is defined as p(x)=(x−2)(x+3). Another polynomial is q(x)=7p(x). Which statement about the zeros of p(x) and q(x) is correct?
(a) q(x) has no real zeros because the factor 7 eliminates the roots.
(b) p(x) and q(x) have exactly the same zeros.
(c) Each zero of q(x) is 7 times the corresponding zero of p(x).
(d) Each zero of q(x) is obtained by adding 7 to the corresponding zero of p(x).