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

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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