Answer
I can't tell what you're asking but here is all the things
Step-by-step explanation:
Total Numbers: 10
Mean (Average): 7.9
SD: 4.38305
Variance (SD): 19.21111
Population SD: 4.15812
Variance(Population SD): 17.29
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Answer: 2x+1
Notice how the 2x in the answer and the x, from x+6, multiplies to 2x^2
Also the 1 from the answer and the 6 from x+6 multiplies to 6
The results of 2x^2 and 6 are the first and last terms respectively of the original trinomial. None of the other answer choices fit this.
You can use the FOIL or box method to get
(x+6)*(2x+1) = x*(2x+1)+6*(2x+1)
(x+6)*(2x+1) = 2x^2+x+12x+6
(x+6)*(2x+1) = 2x^2+13x+6
which confirms the answer is 2x+1