Question

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

A. 2(x + 5)(x + 5)
B. 2(x + 5)(x + 10)
C. 2(x + 2)(x + 25)
D. prime Factor the GCF first and then factor the trinomial: 2x2 + 20x + 50
A. 2(x + 5)(x + 5)
B. 2(x + 5)(x + 10)
C. 2(x + 2)(x + 25)
D. prime

Answer 1

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

Answer 2

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.