Question

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

Answer 1

Answer:

• k = -2

Step-by-step explanation:

Factor x³ + 2x:

• x³ + 2x = x(x² + 2)

1. The common factor is x, then:

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

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