3 years ago

The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

a = - 4

Step-by-step explanation:

Given x = - 2 is a root then f(- 2) = 0

f(x) = x³ + x² + ax - 4, thus

f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is

f(- 2) = - 8 + 4 - 2a - 4 = 0, thus

- 8 - 2a = 0 ( add 8 to both sides )

- 2a = 8 ( divide both sides by - 2 )

a = - 4

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The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.​

The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.