Math, asked by yagnapraneeth007, 1 year ago

if (x+2) is a factor of xsquare+ax+2b and a+b=4 then a and b =

Answers

Answered by mysticd
8
Hi ,

Let p(x) = x² + ax + 2b

it is given that ,

( x + 2 ) is a factor of p( x ) , then

p( -2 ) = 0

=> ( -2 )² + a ( -2 ) + 2b = 0

=> 4 - 2a + 2b = 0

=> 2 - a + b = 0

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

a + b = 4 ----( 2 ) [ given ]

add equations ( 1 ) and ( 2 ) , we get

2b = 2

b = 2/2

b = 1

substitute b = 1 in equation ( 2 ), we get

a + 1 = 4

a = 4 -1

a = 3

Therefore ,

a = 3 , b = 1

I hope this helps you.

: )

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