Question

factories each of the polynomial 4x^3- 4x^2-21-9​

Answer 1

Step-by-step explanation:

4x3-4x2-21x-9=0

Three solutions were found :

x = 3

x = -3/2 = -1.500

x = -1/2 = -0.500

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((4 • (x3)) - 22x2) - 21x) - 9 = 0

Step 2 :

Equation at the end of step 2 :

((22x3 - 22x2) - 21x) - 9 = 0

Step 3 :

Checking for a perfect cube :

3.1 4x3-4x2-21x-9 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4x3-4x2-21x-9

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

Group 1: -21x-9

Group 2: 4x3-4x2

Pull out from each group separately :

Group 1: (7x+3) • (-3)

Group 2: (x-1) • (4x2)