What is the factored form of 2x2 + 20x + 50?

2 answers:

8 0

2x^2+20x+50
Find the GCF of the 3 given numbers (2,20,and 50) in this case it 2
divide the whole equation by 2
You are left with:
2(x^2+10x+25)
From here simply factor it.
ask yourself, what 2 numbers would multiply to make 25 but add to make 10
5 x 5=25
5+5=10
so 5 and 5...
(x+5)(x+5)
Now you need to break the expression: x^2+10x+25 into groups
like this:
(x^2+5x)+(5x+25)
Find the GCF of each number set (5 and 1, 5 and 25 )
divide by the numbers you get. In this case for 5 and 1 it is just x divide both numbers by x to get :
x(x+5)
For 5 and 25 it is 5 so you get:
5(x+5)
Combine the 2 expressions we got.
x(x+5)+5(x+5)
Factor out the equation and you get your final answer
2(x+5)(x+5) or it can also be written as 2(x+5)^2

KonstantinChe [14]4 years ago

8 0

2x^2+ 20x+ 50
= 2*(x^2+ 10x+25)
= 2(x+5)^2.

The final answer is 2(x+5)^2.

Hope this would help~

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