26-03-2024
Mathematics

contestada

How do I determine this?

How do I determine this class=

Respuesta :

jimrgrant1 jimrgrant1

26-03-2024

Answer:

see explanation

Step-by-step explanation:

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

So if (x + 6) is a factor of f(x), then f(- 6) = 0

f(x) = 2x² + 8x - 24 , then

f(- 6) = 2(- 6)² + 8(- 6) - 24 = 2(36) - 48 - 24 = 72 - 48 - 24 = 0

Then (x + 6) is a factor of f(x)

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