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) · Q(x) + R(x). P(x) = −x3 − 6x + 2, D(x) = x + 1
Added by Timothy S.
Step 1
Step 1:** Set up the synthetic division table with the coefficients of P(x) and the root of D(x) as -1: \[ \begin{array}{|c c c c|} \hline -1 & -1 & 0 & -6 & 2 \\ \hline & 1 & -1 & 1 & -7 \\ \hline -1 & 0 & -1 & -5 & -5 \\ \hline \end{array} Show more…
Show all steps
Close
Your feedback will help us improve your experience
Teresa Fuston and 71 other Prealgebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
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 $P(x)=D(x) \cdot Q(x)+R(x)$. $P(x)=x^{3}+4 x^{2}-6 x+1, \quad D(x)=x-1$
Polynomial and Rational Functions
Dividing Polynomials
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 $P(x)=D(x) \cdot Q(x)+R(x)$. $P(x)=x^{4}-x^{3}+4 x+2, \quad D(x)=x^{2}+3$
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 \[ P(x)=D(x) \cdot Q(x)+R(x) \] $P(x)=4 x^{3}+7 x+9, \quad D(x)=2 x+1$
Real Zeros of Polynomials
Recommended Textbooks
Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 8 Mathematics: Open Up Resources, Common Core State Standards Edition
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD