(iii) p(x)=x°-6x2 +11x-6 by x+2
by long division method
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Let f(x)=x³−6x2+11x−⁶
and p(x)=x−2
Dividing f(x) by p(x) we get
Quotient q(x)=x²-4x+3 and Remainder r(x)=0
⇒p(x)q(x)=f(x)
⇒p(x)q(x)+0=f(x)
⇒p(x)q(x)+r(x)=f(x)
Hence division algorithm verified.
hope it helps you
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