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If x²+ax+b,when divied by x–4, leaves a remainder of 32 and x²+bx+a,when divided by x–4,leaves a remainder of 35, then a+b=?

Asked by ankitkhatana91 20th September 2018, 7:59 AM
Answered by Expert
Answer:
begin mathsize 12px style f left parenthesis x right parenthesis space equals space x squared plus a x plus b
f left parenthesis 4 right parenthesis space equals space 16 plus 4 a plus b space equals space 32 space space o r space 4 a plus b space equals space 16 space.......... left parenthesis 1 right parenthesis

f left parenthesis x right parenthesis space equals space x squared plus b x plus a
f left parenthesis 4 right parenthesis space equals space 16 plus 4 b plus a space equals space 35 space space o r space space 4 b plus a space equals space 19 space........... left parenthesis 2 right parenthesis

B y space s o l v i n g comma space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space g e t space space space space a space equals space 3 space space space space a n d space space b space equals space 4 end style
 
a+b = 4+3 = 7
Answered by Expert 20th September 2018, 11:15 AM
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