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1 year ago

Is (x+1) a factor of the function f(x) = 7x^4 – 5x^3 – 10x² + 2x, and why?

Mathematics

1 answer:

Schach [20]1 year ago

7 0

Answer:

first option

Step-by-step explanation:

If ( x + h) is a factor of f(x) then f(- h) = 0 , then

If (x + 1) is a factor of f(x) then f(- 1) = 0

f(- 1) = 7 $(-1)^{4}$ - 5(- 1)³ - 10(- 1)² + 2(- 1)

= 7(1) - 5(- 1) - 10(1) - 2

= 7 + 5 - 10 - 2

= 12 - 12

= 0

Since f(- 1) = 0 then (x + 1) is a factor of f(x)

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$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

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