Question
Divide polynomial $3x^3 – 8x^2 + x + 7$ by $x – 3$ using synthetic method and write the quotient and remainder.

Answer

Dividend = $3 x^3-8 x^2+x+7$
∴ Coefficient form of dividend = $(3, – 8, 1,7)$
Divisor =$ x – 3$
∴ Opposite of $– 3$ is $3$

Image

Coefficient form of quotient = $(3, 1,4)$
∴ Quotient = $3x^2 + x + 4$ and
Remainder =$19$

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