Question

show that x-a is a factor of x^3-(a+b)x^2+abx

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

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show that x-a is a factor of x^3-(a+b)x^2+abx

Solution :-

given polynomial

x³-(a+b)x²+abx=0

if x-a is a factor of given polynomial ....

so,

x=a exit this equation.

put value in this equation..

a³-(a+b)a²+ab(a)=0

=>a³-a³-a²b+a²b=0

=>0=0

LHS=RHS

Thus :--

x-a is a factor of this equation

THAT'S PROVED

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