Question

if f(x) = 2x^3 +ax^2 + bx +6
and
g(x) = x^2 +x -2
find the value of a and b
plzz answer my question
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Answer 1

Answer:

x^2+x-2

x^2+2x-x-2

x(x+2)-1(x+2)

x-1=0

x=1

by the question

2(1)^3+a(1)^2+b+6=0

2+a+b+6=0

a+b= 8 equation= (1)

x=-2

2(-8)+4a-2b+6=0

-16+4a-2b+6=0

4a-2b =10 equation (2)

equation 1 4 multiple

4a+4b=32

4a-2b=10

2b=42

b=21

4a-2(21)=10

4a-42=10

4a= 52

a= 52/4

a =21/2