find the reminder when
[tex] {x}^{2} - a {x}^{2} + 6x - a \: is \: divided \: by \: x - a[/tex]
plzzzzzzz solve quickly first answer will be marked as brainlist
[tex] {x}^{2} - a {x}^{2} + 6x - a \: is \: divided \: by \: x - a[/tex]
plzzzzzzz solve quickly first answer will be marked as brainlist
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=> given eqn is : let f(x) = x² - ax²+ 6x - a is divided by (x-a)
So by remainder theorem,
=> x-a = 0 then x = a
Put x = a in above equation. We get
=> f(a) = a² - a.a² + 6.a - a
=> f(a) = a² - a³ + 6a - a
=> f(a) = a² - a³ + 5a
So required remainder is ( a²- a³ + 5a)
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