smileahuja
when a polynomial f(x)divided by (x1)it gives remainder 4 &when divided by (x2) remainder=5 what will be remainder if f(x)is dividedby (x1)(x2)



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chris00
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love remainder/factor theorem

chris00
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P(x)=Q(x)D(x)+R

amistre64
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\[\frac{x1+4}{x1}\]
\[\frac{x2+5}{x2}\]
since f(x) = x+3 is "a" solution .... i wonder if we can be this specific

chris00
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i think we look more at the remainder theorem here.

chris00
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For this speicfic question P(x)=Q(x)(x1)(x2)+(Ax+B)

chris00
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The remainder is a linear factor as it is 1 degree lower than a quadratic

chris00
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Is this guy online?

amistre64
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prolly not .... but the question was nice

chris00
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Anyway we know P(1)=4 from first lot of info
and P(2)=5

chris00
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now its just simultaneous equations

chris00
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So we get
A+B=4
2A+B=5

chris00
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A=1 B=3

chris00
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tHEREFORE remainder is x+3

amistre64
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so i was right :)

chris00
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which is what u got i guess haha

chris00
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i gotta hand it to you