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Two polynomials $P$ and $D$ are given. Use either synthetic or long division to divide $P(x)$ by $D(x),$ and express $P$ in the form $$ P(x)=D(x) \cdot Q(x)+R(x) $$...

Question

Two polynomials $P$ and $D$ are given. Use either synthetic or long division to divide $P(x)$ by $D(x),$ and express $P$ in the form $$ P(x)=D(x) \cdot Q(x)+R(x) $$ $$P(x)=4 x^{3}+7 x+9, \quad D(x)=2 x+1$$

Two polynomials $P$ and $D$ are given. Use either synthetic or long division to divide $P(x)$ by $D(x),$ and express $P$ in the form $$ P(x)=D(x) \cdot Q(x)+R(x) $$ $$P(x)=4 x^{3}+7 x+9, \quad D(x)=2 x+1$$



Answers

Two polynomials $P$ and $D$ are given. Use either synthetic or long division to divide $P(x)$ by $D(x),$ and express $P$ in the form $P(x)=D(x) \cdot Q(x)+R(x)$.
$P(x)=3 x^{2}+5 x-4, \quad D(x)=x+3$


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