When x2+ax+b divided by x-4 leaves reminder 35 ,when x2+bx+a divided by x-4 leaves reminder 35 then a-b is
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as per condition
x-4=0
⇒x=4
let p(x)=x²+ax+b
p(4)=4²+4a+b
⇒35=16+4a+b
⇒19=4a+b......(1)
let q(x)=x²+bx+a
q(4)=4²+4b+a
⇒35=16+4b+a
⇒19=4b+a......(2)
∴equating (2)and(1)
4a+b=4b+a
⇒3a=3b
⇒a=b.....(3)
∴a-b=0[using(3)]
x-4=0
⇒x=4
let p(x)=x²+ax+b
p(4)=4²+4a+b
⇒35=16+4a+b
⇒19=4a+b......(1)
let q(x)=x²+bx+a
q(4)=4²+4b+a
⇒35=16+4b+a
⇒19=4b+a......(2)
∴equating (2)and(1)
4a+b=4b+a
⇒3a=3b
⇒a=b.....(3)
∴a-b=0[using(3)]
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