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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
 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
 one year ago

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burhan101Best ResponseYou've already chosen the best response.1
\[\huge x^44x^3+ax^2+bx+1 \]
 one year ago

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

burhan101Best ResponseYou've already chosen the best response.1
but there are 3 variables .. :S
 one year ago

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

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

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

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

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

matrickedBest ResponseYou've already chosen the best response.0
thus 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
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
thus a+b=9 and ab 3 thus solving above two eq we have a=3 and b=6
 one year ago
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