Lattice Multiplication of Polynomials

polynomial 1

234

polynomial 2

6234

show answer

2

x

+3x+4

×

6

3

x

+2

2

x

+3x+4

6	2	3	4
				2
				3
				4

= 12

5

x

+22

4

x

+36

3

x

+25

2

x

+24x+16

This Demonstration shows the multiplication of two polynomials using a method analogous to lattice multiplication for positive integers. The totals of the diagonals give the answer. You can figure out the steps in the method by studying a few solutions.