Question

2.Examine whether (a-3) is a factor of a^(3)-a^(2)-5a-3 .If so what are the other two factors​

Answer 1

Answer:

a3-a2-5a-3=0

Two solutions were found :

a = 3

a = -1

Step by step solution :

Step 1 :

Checking for a perfect cube :

1.1 a3-a2-5a-3 is not a perfect cube

Trying to factor by pulling out :

1.2 Factoring: a3-a2-5a-3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5a-3

Group 2: a3-a2

Pull out from each group separately :

Group 1: (5a+3) • (-1)

Group 2: (a-1) • (a2)

The groups have no common factor and can not be added up to form a multiplication.