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algol [13]
3 years ago
6

Help please I have a final literally tomorrow

Mathematics
1 answer:
VikaD [51]3 years ago
7 0
<h3>Answer: Choice D</h3><h3>sin^2(x) + 1</h3>

========================================================

Work Shown:

2sin^2(x) + cos^2(x)

2sin^2(x) + 1 - sin^2(x) .. see note below

[ 2sin^2(x) - sin^2(x) ] + 1

sin^2(x) + 1

note for step 2 above, I used the Pythagorean trig identity (or a slight variation of it) to replace cos^2(x) with 1-sin^2(x).

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sergij07 [2.7K]

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If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6
seraphim [82]

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  signs of the constants in the binomial factors are negative

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  2x^2 -7x +6 = (x -2)(2x -3)

__

<em>Further comment</em>

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

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In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

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