Question

If x+2 is a
a factor of x² + ax + 2b
and a+b= 4, then​

Answer 1

Answer:

............................

Answer 2

Answer:

a = 3 and b = 1

Step-by-step explanation:

given

a+b=4. .......(1)

X+2 is a factor of x^2 + ax+ 2b

substitute X = -2

then (-2)^2 + a *-2 + 2 b = 0

4-2a+2b=0

-2a+2b= -4. [ take -2 as common ]

-2(a-b)= -4

a-b=2......(2)

solve eq.1 and eq.2

a+b=4

a-b=2

2a=6

a=3. substitute a=3 in eq.1

we get b = 1