\[ Using \ factor \ theorem,\ prove \ that \a + b, \ b + c \ and \ c + a \ are \ the \\ factors \ of \ (a+b+c)^3 - (a^3 + b^3 + c^3)\]
2. If f(x) = x4 - 2x3 + 3x2 - ax + b is a polynomial such that when it is divided by x - 1 and x + 1, the remainder are 5 and 19 respectively. Determine the remainder when f(x) is divided by x - 2.
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sorry maths is nt my subject.
@Hero can u help
Give me 20 minutes
\[ Using \ factor \ theorem,\ prove \ that \ a + b, \ b + c \ and \ c + a \ are \ the \\ factors \ of \ (a+b+c)^3 - (a^3 + b^3 + c^3)\]
Perfect Question @Hero 15 mins left
@lgbasallote can u please help
By the way, what are you the master of?
consider it to be a function of a....say f(a) and now if a+b i s a factor f(-b) =0
for second part of problem:
f(x) is divided by x - 1 the remainder is 5 -----> f(1)=5 (I)
f(x) is divided by x + 1 the remainder is 19 -----> f(-1)=19 (II)
equations (I) and (II) will give u the unknowns a and b
now if f(x) is divided by x - 2 the remainder is f(2)
first part of question : i go with @A.Avinash_Goutham