Question

If x= 6+√7, then Find the value of
x^3-18x^2+101x-132
​

Answer 1

Answer:

(x - 4) • (x - 5) • (x - 9)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

(((x3) - (2•32x2)) + 101x) - 180

Step  2  :

Checking for a perfect cube :

 2.1    x3-18x2+101x-180  is not a perfect cube 

Trying to factor by pulling out :

 2.2      Factoring:  x3-18x2+101x-180 

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

Group 1:  x3+101x 

Group 2:  -18x2-180 

Pull out from each group separately :

Group 1:   (x2+101) • (x)

Group 2:   (x2+10) • (-18)