Answered

Factor the GCF first and then factor the trinomial: 2x2 + 20x + 50

A2(x + 5)(x + 5)
B2(x + 5)(x + 10)
C2(x + 2)(x + 25)
Dprime Factor the GCF first and then factor the trinomial: 2x2 + 20x + 50
A2(x + 5)(x + 5)
B2(x + 5)(x + 10)
C2(x + 2)(x + 25)
Dprime

Verified Answer :

haven27

B, do the inverse of FOIL or u can just simply check by factor it out out multiply out all of the answers

metchelle

So here is the answer to the given trinomial above.
2x^2+20x+50=2(x^2+10x+25)
Now, let's factor,x^2+10x+25
Since it is a perfect square, then it has the form (a+b)^2=(a+b)(a+b) == a^2+2ab+b^2


Taking a=x and b=5:
(x+5)^2 = (x+5)(x+5)=x^2 + 2∗5∗x+5^2
Therefore:
2x^2+20x+50 = 2(x^2+10x+25)= 2(x+5)^2 = 2(x+5)(x+5)
So the final answer would be option A. 2(x + 5)(x + 5)
I hope this answers the question. Let me know if you need more help next time.

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