Question

25. If x + 2 is a factor of x? + ax + 2b and a + b = 4, then
a. a = 1, b =3
b. a = 3, b = 1
c. a = -1, b = 5
d. a = 5, b = -1​

Answer 1

Answer:

inbox me ।।।।।।।।।,।।।।।।

Answer 2

Answer:

If X+2 is a factor of f(X) = x^2 + ax + 2b

then -2 is a solution of f(X).

Then , f(-2) = 4 + a(-2) + 2b = 0

-2a + 2b = -4

-a + b = -2 ---------- (1)

We are given a + b = 4 ------------(2)

Solving (1) and (2)

we get, a= 3

b= 1