Question

x+1 is the factor of x²+ax+2 then value of a is;
(a) 4
(b) -3
(c) 2
(d)3​

Answer 1

Given,

x + 1 = 0 (Since x+1 is a factor)

⟹ x = -1

Putting x = -1 in the equation

x² + ax + 2 = 0

⟹ (-1)² + a × (-1) + 2 = 0

⟹ 1 + (-a) + 2 = 0

⟹ 3 - a = 0

⟹ -a = -3

⟹ a = 3

Therefore, (D) is the correct option.