Question

If x+2 is a factor of x2+ax+2band a+b=4 then find the value of a and b are

Answer 1

x+2is a factor so p(-2)=0

x²+ax+2b=0=

4-2a+2b=0

4-2(a-b)=0

-2(a-b)= -4

a-b=2

a+b=4

4-2= a+b-(a-b)

2=2b

b=1

therefore

a=3

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Answer 2

Answer:

a=3; b=1

Step-by-step explanation:

p(x) = x^2 + ax +2

p(x) = (x + 2)Q(x) + 0

if x = -2

p(-2) = 0

(-2)^2 + (-2)a + 2 = 0

6-2a=0

a = 3

a + b = 4

subsituting the value of a

3 + b = 4

b =1