77. (a) Writing to Learn Write a paragraph that describes how the zeros of f(x)=(1/3)x3+x2+2x−3 are related to the zeros of g(x)=x3+3x2+6x−9. In what ways does this example illustrate how the Rational Zeros Theorem can be applied to find the zeros of a polynomial with rational number coefficients?
(b) Find the rational zeros of f(x)=x3−67x2−320x+27.
(c) Find the rational zeros of f(x)=x3−25x2−1237x+25.