Question

If x+2 is a factor of x^3+ax^2+4bx+2 and a+b= -4
Find a & b


Pls answr fast and best answr gets brainliest

Answer 1

Answer:

Step-by-step explanation:

X+2 is a factor of the given eqn

So for x=-2, eqn will be satisfied

-2³+a*-2²+4b(-2)+2=0

-8+4a-8b+2=0

4a-8b=6

2a-4b=3

a+b=-4.....given

Solving,

b=-11/6

a=-13/6

Answer 2

Answer:

x + 2 = 0

=> x = (-2)

Put this value of x in p(x)

=> x^3 + ax^2 + 4bx + 2 = 0

=> -8 + 4a - 8b + 2 = 0

=> 4a - 8b = 6

=> 2a - 4b = 3

=> a = (3 + 4b)/2

a + b = -4

=> (3 + 4b)/2 + b = -4

=> 3 + 4b + 2b = -8

=> 6b = -11

=> b = -11/6

=> a = -13/6

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