Question

Divide x3 + 6x2 - x by x​

Answer 1

Ur answer is above

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Answer 2

Let f(x)=x
3
−6x
2
+11x−6
and p(x)=x−2
Dividing f(x) by p(x) we get
Quotient q(x)=x
2
−4x+3 and Remainder r(x)=0
p(x)q(x)=(x−2)(x
2
−4x+3)
p(x)q(x)=x
3
−4x
2
+3x−2x
2
+8x−6
p(x)q(x)=x
3
−6x
2
+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.
solution