3 years ago

If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

k = -2

Step-by-step explanation:

<u>Factor x³ + 2x:</u>

x³ + 2x = x(x² + 2)

1. <u>The common factor is x, then</u>:

2 + k = 0 ⇒ k = -2 (all the rest are divisible by x)

2. Factor x² + 2 is not linear therefore we discard it.

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