Polynomial division, factors and remainders | IB Math AAHL | Perplex

Dashboard

Topics

Exponents & Logarithms Rounding & Error Sequences & Series Counting & Binomials Proof and Reasoning Complex Numbers Algebra Skills

Cartesian plane & lines Quadratics Function Theory Transformations & asymptotes Polynomials

2D & 3D Geometry Trig equations & identities Vectors

Probability Descriptive Statistics Bivariate Statistics Distributions & Random Variables

Differentiation Integration Differential Equations Maclaurin

Calculator Skills

Review Videos Formula Booklet All Study Sets

Blog Landing Page

Dashboard

Topics

Exponents & Logarithms Rounding & Error Sequences & Series Counting & Binomials Proof and Reasoning Complex Numbers Algebra Skills

Cartesian plane & lines Quadratics Function Theory Transformations & asymptotes Polynomials

2D & 3D Geometry Trig equations & identities Vectors

Probability Descriptive Statistics Bivariate Statistics Distributions & Random Variables

Differentiation Integration Differential Equations Maclaurin

Calculator Skills

Review Videos Formula Booklet All Study Sets

Blog Landing Page

Polynomials (Lesson 2/4)

Polynomial division, factors and remainders

1 / 20

Discussion

(a)

Expand the product (x+2)(x2−3).

Solution:

Think of letting each part in the first bracket “meet” everything in the second bracket, then tidying up.

(x+2)(x2−3)=x(x2−3)+2(x2−3)

=x3−3x+2x2−6

Now write in descending powers:

x3+2x2−3x−6

Polynomials (Lesson 2/4)

Polynomial division, factors and remainders

1 / 20

Discussion

(a)

Expand the product (x+2)(x2−3).

Solution:

Think of letting each part in the first bracket “meet” everything in the second bracket, then tidying up.

(x+2)(x2−3)=x(x2−3)+2(x2−3)

=x3−3x+2x2−6

Now write in descending powers:

x3+2x2−3x−6