Question

dividing p(x) = x³+1 by x+1​

Answer 1

Answer:

==: x³ + 1 ÷ x + 1​

Quotient = x² - x + 1

Remainder = 0

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Answer 2

Answer:

$\boxed{\begin{array}{l | n | r}\sf x+1&\sf x^3+1&\sf x^2-x + 1\\ &\sf x^3+x^2\\ & ( - )\quad( - )\\&\rule{60}{0.8}\\&\sf\quad - \:x^2+1\\ &\sf\quad-\:x^2-x\\ & \quad ( + )\:\:( + )\\&\quad\rule{55}{0.8}\\&\qquad\quad\sf x + 1\\ &\sf\qquad\quad\sf x+1\\&\quad\quad(-)\:\:(-)\\&\quad\quad\rule{50}{0.8}\\ &\sf\qquad\qquad0\end{array}}$

Quotient : x² - x + 1

Remainder : 0