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/Tag: Polynomials
15 12, 2018

## Sum & Products of Roots

By |2018-12-18T17:18:28+10:00December 15th, 2018||Comments Off on Sum & Products of Roots

8 02, 2017

## Zeroes & Multiplicity

By |2019-04-25T07:53:53+10:00February 8th, 2017|Tags: , , |0 Comments

Zeroes/Roots & Multiplicity Go to the Forum to see more questions or ask your own Formulas Used in Roots & Multiplicity zeroes, are the roots, or solutions to the equation P(x) Number of Roots The maximum number of roots a Polynomial can have is equal to the degree of that polynomial [...]

17 01, 2017

## Forum

By |2017-01-17T07:30:59+10:00January 17th, 2017|Tags: , , |Comments Off on Forum

Extension 2 Polynomials Forum Rules of the Forumbe respectful of other membersno profanitypost questions in appropriate areasONE question per post

17 01, 2017

## Polynomials

By |2018-12-15T20:00:24+10:00January 17th, 2017|Tags: , |0 Comments

Polynomials Go to the Polynomials forum to see more questions or ask your own Topics Covered in Polynomials Division Transformation de Moivre's Theorem Sum & Products of Roots Formulas Used in Polynomials Division Transformation P(x) ≡ D(x).Q(x) + R(x) where deg [...]

28 11, 2016

## Factor Theorem

Factor Theorem P(a) = 0 then (x - a) is a factor of P(x) worked examples Is x + 2 a factor of x2 + 11x + 18? P(-2) = (-2)2 + 11 × -2 + 18 substitute x = -2 in the function, remembering that if (x - a) [...]

25 11, 2016

## Long Division

Long Division Go to the Forum to see more questions or ask your own Worked examples Find the linear factors of 6x3 – 23x2 – 5x + 4. P(1) = 6 - 23 - 5 + 4 ≠ 0 P(2) = 48 - 92 - 10 + 4≠ 0 P(4) = 384 [...]

30 10, 2016

## Remainder Theorem

Remainder Theorem P(a) = R where (x - a) worked examples Find the remainder when P(x) = x4 - 3x2 + x - 4 is divided by (x - 2).  P(2) = 24 - 3(2)2 + 2 - 4 since it is being divided by x - 2, [...]

17 06, 2016

## Polynomials

By |2016-11-28T07:24:44+10:00June 17th, 2016|Tags: , |0 Comments

Polynomials Go to the Polynomials Forum to see more questions or ask your own Topics Covered in Polynomials Determining Polynomails Evaluating Polynomials Finding Unknowns Expending & Simplifying Dividing Remainder Theorem Factor Theorem Factorising & Zeros Sketching Graphs [...]

20 08, 2015

## Newtons Method

Newtons Method $x_1=x_0-\frac{f(x_0)}{f'(x_0)}$ worked examples Starting with x = 2, find a better approximation to the root of f(x) = x3 + 3x - 18, correct to two decimal places. f'(x) = 3x2 + 3 find f'(x) ${x_1} = 2 - \frac{{2^3 + 3\times2 - 18}}{{3\times2^2 + 3}}$ using [...]