Question

find the difference between the quotient and remainder when
${x}^ {2 } - 6 {x}^{2} + 11 {x}^{2} - 6 \\ \: \: \: is \: \: divided \: \: by \: \: (x + 1$
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Answer 1

Step-by-step explanation:

p(x)=x²-6x²+11x²-6

p(x)=6x²-6

g(x)=x+1

q(x)=6x²-6/x+1

q(x)=6(x²-1)/x+1

q(x)=6(x+1)(x-1)/x+1

q(x)=6(x-1)

q(x)=6x-6

r(x)=0

q(x)-r(x)=6x-6-0

=6x-6