Question

obtain all other zeroes of the polynomial x^4 +x^3 -16x^2 - 4x +48,if two of its zeroes are 2 and -4

Answer 1

x3+4x2+48x+245 

Final result :

x3 + 4x2 + 48x + 245

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(((x3) + 22x2) + 48x) + 245

Step  2  :

Checking for a perfect cube :

 2.1    x3+4x2+48x+245  is not a perfect cube 

Trying to factor by pulling out :

 2.2      Factoring:  x3+4x2+48x+245 

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

Group 1:  x3+245 
Group 2:  4x2+48x 

Pull out from each group separately :

Group 1:   (x3+245) • (1)
Group 2:   (x+12) • (4x)