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 2 years ago
When [equation] is divided by (x1) the remainder is 7. When it is divided by (x+1) the remainder is 3. Determine the values of a &b .
Can somebody please just explain the method... thanks:)
 2 years ago
When [equation] is divided by (x1) the remainder is 7. When it is divided by (x+1) the remainder is 3. Determine the values of a &b . Can somebody please just explain the method... thanks:)

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burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1\[\huge x^44x^3+ax^2+bx+1 \]

wio
 2 years ago
Best ResponseYou've already chosen the best response.1Have you tried synthetic division?

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1but there are 3 variables .. :S

wio
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah but you know a lot of algebra to deal with them.

wio
 2 years ago
Best ResponseYou've already chosen the best response.1Hmmm, I'm not exactly sure what the trick for this is.

wio
 2 years ago
Best ResponseYou've already chosen the best response.1\[ \large x^44x^3+ax^2+bx+1=(x1)(cx^3+dx^2+ex+f)+7 \]

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0@ burhan101 use factor and remainder theorem

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0when f(x) is divided by (xa) the remainder is given by f(a)

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0thus here f(x) =x^4−4x^3+ax^2+bx+1 f(1)=7 and f(1)=3 u will get two equation in two unknowns and u can solev them to know a and b

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0thus a+b=9 and ab 3 thus solving above two eq we have a=3 and b=6
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