Factor the expression.

Question

Factor the expression. x2 - 30x + 81

A. (x - 9)2

B. (x - 1)(x - 81)

C. (x - 3)(x - 27)

D.Prime Polynomial

Answer 1

x²-30x+81

81=3*3*3*3=3*(3*3*3)=3*27 and 27+3=30 the coefficient of the middle term

(x   )(x   )... so far

3*27=81, and (-3)(-27)=81, and (-3)+(-27)=(-30)

(x-3)(x-27)