Answered

Makakuha ng eksaktong mga sagot sa iyong mga tanong sa IDNStudy.com. Ang aming mga eksperto ay handang magbigay ng malalim na sagot at praktikal na solusyon sa lahat ng iyong mga tanong.

what is the factor of (2x+5)squared - 1 ?

Sagot :

Simplify it first
(2x+5)^2 - 1
= (4x^2 + 20x + 25) - 1
= 4x^2 + 20x + 24
Use 4 [from the first term] and 24 [last term] as the basis for your factors;
4 has 1, 2, 4 as it's factors
24 has 1, 2, 3, 4, 6, 12, 21 as it's factors
Find the most apporpriate one- you can use Synthetic Division or simply "Trial and Error"
You will soon get
(4x + 12) (x + 2) as the factors
But remember; (4x + 12) can still be factored.
Divide it by 4... 
(4x + 12) / 4 = (x + 3)
So yor factors are now
4 (x + 3) (x + 2)