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butalik [34]
3 years ago
7

Factor X squared minus 2X -80

Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

(x - 10)(x + 8)

Step-by-step explanation:

x² - 2x - 80

Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)

The factors are - 10 and + 8 , since

- 10 × 8 = - 80 and - 10 + 8 = - 2 , then

x² - 2x - 80 = (x - 10)(x + 8)

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Answer:

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Csec%281%20-%20%20%5Csin%28x%29%20%29%20%7D%20dx" id="TexFormula1" ti
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\displaystyle\dfrac{1}{\sec x(1-\sin x)}=\dfrac{\cos x}{1-\sin x}\\\\\\\int \dfrac{dx}{\sec x(1-\sin x)}=\int\dfrac{\cos x\, dx}{1-\sin x}\\\\\\u=1-\sin x\\du=-\cos x\, dx\\\\\int \dfrac{\cos x\, dx}{1-\sin x}=\int \dfrac{-du }{u}=-\int \dfrac{du}{u}=-\ln |u|+C=-\ln|1-\sin x|+C

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2 years ago
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