Use long division or synthetic division to find the quotient Q(x) and the remainder R(x)P(x)=x^3+3x^2-9x+5d(x)=(x+1)

Question

asked Jul 25, 2023 43.2k views

1 Answer

Yorrd · Answer 1 · 2023-07-31T16:59:10+0000

Answer:

$\begin{gathered} Quot\imaginaryI ent\text{Q}\operatorname{\lparen}\text{x}\operatorname{\rparen}=x^2+2x-11 \\ Remainder=16 \end{gathered}$

Explanations:

Given the following functions expressed as:

$\begin{gathered} P(x)=x^3+3x^2-9x+5 \\ d(x)=x+1 \end{gathered}$

Using the synthesis division

From the synthetic division above, you can see that;

$\begin{gathered} Quotient\text{ Q\lparen x\rparen}=x^2+2x-11 \\ Remainder\text{ R\lparen x\rparen}=16 \end{gathered}$