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

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

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

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

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

wio
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0@ burhan101 use factor and remainder theorem

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

matricked
 one year 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
 one year 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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