Question

Divide (x^3 – x^2 +11x +69) by (x+3) by long division method..​

Answer 1

Answer:

x+3

x=−3

p(x)=x

3

−x

2

+11x+69

p(−3)=(−3)

3

−(−3)

2

+11(−3)+69

=−27−9−33+69

=−69+69

=0

Therefore (x+3) is a factor

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Answer 2

Answer:

$\implies \: \: \: \: \frac { x ^ { 3 } - x ^ { 2 } + 11 x + 69 } { x + 3 }$

$\implies \: \: \: \: \frac{\left(x+3\right)\left(x^{2}-4x+23\right)}{x+3}$

$\implies \: \: \: \: x^{2}-4x+23$

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