divide (x^4-x^3-8x^2+11x-3) by (x^2+2x-3)
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Answer:
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)=(x−2)(x2−4x+3)p(x)q(x)=x3−4x2+3x−2x2+8x−6p(x)q(x)=x3−6x2+11x−6
⇒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.
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