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Klio2033 [76]
2 years ago
10

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

Mathematics
1 answer:
Schach [20]2 years 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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Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

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now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

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5 + 8 > 12

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I hope this helped you!

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Answer:

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