Question

for what value of a is x² - ax - 6 divisible by x+2​

Answer 1

The Given equation is, x² - ax - 6

And, we've To find value of a

➟ x + 2 = 0

➟ x = -2

Put value of x in equation :

➝ x² - ax - 6 = 0

➝ (-2)² - (-2)a - 6 = 0

➝ 4 + 2a - 6 = 0

➝ 4 + 2a = 6

➝ 2a = 6 - 4

➝ 2a = 2

➝ a = 2/2

➝ a = 1