Question

Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)

Answer 1

(a+1)(a+27)

Explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial
`Ax^2+Bx+C` multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as
`(x-/+ number)(x-/+number)`.

`a^2+28a+27`

A=1, C=27

A*C=27 and add to B=28 which 1 and 27 satisfy

The factors are (a+1)(a+27)