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Which of the following is equivalent to the polynomial below? PLEASE HELP!!!!

Which of the following is equivalent to the polynomial below? PLEASE HELP!!!!-example-1

1 Answer

3 votes
Since there's no real good way of solving this problem, let's just expand each one of the expressions. I will use foil because it's easiest for me.

The one you have selected:

(x+5-6i)(x+5-6i) = x^2+5x-6ix+5x+25-30i-6ix-30i-36

x^2+10x-12ix-11-60i
NOT CORRECT

3rd Option:

(x+5-6i)(x-5+6i) = x^2-5x+6ix+5x
We can already see that this would simplify with no x's (5x-5x=0) and out equation has 10x in it. So, this is NOT CORRECT.

4th Option:

(x+5-6i)(x+5+6i)=x^2+5x+6ix+5x+25+30i-6ix-30i+36

x^2+10x+61
NOT CORRECT.

So, the correct option has to be the 1st Option. Hope this helps buddy!
User Russ Petersen
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