Search results

Create the page "Polynomial" on this wiki! See also the search results found.

• Sequences and their limits
  '''Theorem (Limits of Polynomials).''' Suppose we have a polynomial of degree $p$ with the leading coefficient $a_p\ne 0$. Then the limit of th So, as far as its behavior at $\infty$, for a polynomial,
  64 KB (10,809 words) - 02:11, 23 February 2019
• Calculus 2: final
  #Find the Taylor polynomial of order 2 centered at a=1 of the function $f(x)=e^{x²}$. #Find the Taylor polynomial $T_{2}(x)$ of order $2$ centered at $a=\pi$ of the function $f(x)=\sin^{2}x
  4 KB (567 words) - 20:23, 13 June 2011
• Linear algebra
  Since this holds for all x, this [[polynomial]] is the zero polynomial:
  27 KB (4,667 words) - 01:07, 19 February 2011
• Calculus II -- Fall 2014 -- midterm
  $\bullet$ '''4.''' Estimate the coefficients of the Taylor polynomial $T_1$ of order $1$ centered at $a=1$ of the function $f$ shown above. Provi $\bullet$ '''7.''' What degree Taylor polynomial one would need to approximate $e^{.01}$ within $.001$? (Answers may vary an
  1 KB (226 words) - 19:13, 13 October 2014
• Linear algebra of Euclidean space
  Since this holds for all $x$, this [[polynomial]] is the zero polynomial:
  26 KB (3,993 words) - 19:48, 26 August 2011
• Calculus Illustrated
  10 The graph of a quadratic polynomial is a parabola 5 Polynomial functions
  16 KB (1,933 words) - 19:50, 28 June 2021
• Midtearm
  $\bullet$ '''7.''' For the polynomial $f(x)=-2x^2(x+2)^2(x^2+1)$, find its $x$-intercepts. $\bullet$ '''10.''' Find a formula for a polynomial with these roots: $1$, $2$, and $3$.
  2 KB (308 words) - 15:23, 2 March 2016
• Functions
  [[image:graph of a polynomial.png| center]] ...d numbers $m$ and $b$. When $m\ne 0$, such a function is called a ''linear polynomial''.
  151 KB (25,679 words) - 17:09, 20 February 2019
• Homotopy
  '''Theorem (Fundamental Theorem of Algebra).''' Every non-constant (complex) polynomial has a root. '''Proof.''' Choose the polynomial $p$ of degree $n$ to have the leading coefficient $1$. Suppose $p(z)\ne 0$
  46 KB (7,846 words) - 02:47, 30 November 2015
• Homotopy and homotopy equivalence
  '''Theorem (Fundamental Theorem of Algebra).''' Every non-constant (complex) polynomial has a root. '''Proof.''' Choose the polynomial $p$ of degree $n$ to have the leading coefficient $1$. Suppose $p(z)\ne 0$
  45 KB (7,738 words) - 15:18, 24 October 2015
• Contemporary Abstract Algebra by Gallian
  16 polynomial rings Zeros of an irreducible polynomial 362
  5 KB (568 words) - 15:23, 16 November 2011
• Curvature
  *$y = mx + b$, the best affine approximation, linear polynomial; *$ax^2 + bx + c$, quadratic polynomial.
  3 KB (466 words) - 15:43, 31 March 2013
• Parametric curves
  *$y = mx + b$ the best affine approximation, linear polynomial; *$ax^2 + bx + c$, quadratic polynomial.
  34 KB (5,665 words) - 15:12, 13 November 2012
• Differential calculus
  *the derivative of a linear polynomial is constant, but are the linear polynomials the only functions with this pr *the derivative of a quadratic polynomial is linear, but are the quadratic polynomials the only functions with this p
  84 KB (14,321 words) - 00:49, 7 December 2018
• Precalculus with Scientific Applications -- Spring 2016 -- midterm
  $\bullet$ '''7.''' For the polynomial $f(x)=-2x^2(x+2)^2(x^2+1)$, find its $x$-intercepts. $\bullet$ '''10.''' Find a formula for a polynomial with these roots: $1$, $2$, and $3$.
  2 KB (308 words) - 17:21, 2 March 2016
• Differential equations
  ...here may still be exceptions that will call for using the ''cubic'' Taylor polynomial $T_3$ of $f$. And so on. We will need all the Taylor polynomials, i.e., the
  64 KB (11,426 words) - 14:21, 24 November 2018
• Testing...
  $\bullet$ '''6.''' What degree Taylor polynomial one would need to approximate $\sin (-.01)$ within $.001$? Explain the form
  2 KB (221 words) - 14:30, 14 December 2018
• College Algebra -- Fall 2018
  '''MTH 130 College Algebra.''' 3 hrs. Polynomial, rational, exponential, and logarithmic functions. Graphs, systems of equat
  3 KB (401 words) - 15:16, 30 November 2018
• Calculus II -- Fall 2018 -- final exam
  $\bullet$ '''6.''' What degree Taylor polynomial one would need to approximate $\sin (-.01)$ within $.001$? Explain the form
  1 KB (225 words) - 19:27, 14 December 2018
• Internal structure of a vector space: part 1
  *Linear combination of polynomials is a polynomial. (to get $\sin$ and other non-polynomials, use [[Taylor series]].)
  10 KB (1,614 words) - 17:13, 22 May 2012

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)