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 @Mathematics

Answer 1

D

Answer 2

A. 2(x + 5)(x + 5)

Answer 3

A

Answer 4

\[2x^2+20x+50=2(x^2+10x+25)\]
Now factor \[x^2+10x+25\]
if 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:
\[(x+5)^2=(x+5)(x+5)=x^2+2*5*x+5^2\]
Thus:
\[2x^2+20x+50=2(x^2+10x+25)=2(x+5)^2=2(x+5)(x+5)\]
Letter A. 2(x + 5)(x + 5).