Question

factorization of 5 x power 2 - 22 x + 8​

Answer 1

Answer:

Ans: (5x - 2)(x - 4)

Step-by-step explanation:

Ans: (5x - 2)(x - 4)

Explanation:

Use the new AC Method to factor trinomial (Socratic Search): 

y=5x2−22x+8= 5(x + p)(x + q)

Converted trinomial: 

y'=x2−22x+40= (x + p')(x + q')

Find p' and q', that have same sign, knowing sum (b = -22) and product (ac = 40). They are: p' = - 2 and q' = - 20

Therefor: p=p'a=−25 and q=q'a=−205=−4

Factored form of y:

y=5(x−25)(x−4)=(5x−2)(x−4)