Question

x3- 6x² + 11x - 6 by x - 3 divide the following solve this ​

Answer 1

Answer:

x3- 6x² + 11x - 6 by x - 3 divide the following solve this





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Class 8

>>Maths

>>Factorisation

>>Division of Algebraic Expressions

>>Divide x^3 - 6x^2 + 11x - 6...

Question



Divide x3−6x2+11x−6 by x−2 and verify the division algorithm

Easy

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Solution



Verified by Toppr

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.



Answer 2

Answer:

60 is the quotient this is the correct answer I checked it