polynomial project

Emma Jones

monomial

consisting of one term only

Ex: 98b or 78xyz

binomial

an expression that is a sum or difference of two terms.

Ex: 3 x+ 2 y and x 2− 4 x.

trinomial

consisting of or pertaining to three terms.

Ex: 2x2 + 4x - 11, 4x3 - 13x + 9, 7x3 - 22x2 + 24x, and 5x6 - 17x2 + 97.

polynomial

consisting of or characterized by two or more names or terms.

Ex: 7a2 + 18a - 2, 4m2, 2x5 + 17x3 - 9x + 93, 5a-12,

A example of a 4th degree trinomial

y=7x^4 + 6x^2 + x

A example of a 5th degree binomial

3x+1, 2x^3-5x, x^4-4, x-19

A example of a 6th degree polynomial

98b, 78xyz

terms which are not monomals

1. 45x + 3

2. 10 - 2a

3. 67a - 19b + c.

addition problem

1. 4x + 5 = 9

2. 15a + 5 = 20

subtraction problems

1. 5 - 6x = -1

2. 8a - 6 = 2

multiplication problem with a monomial and binomial

x(x + 4)

=x^2 + 4x

multiplcation problem with a monomial and a trinomial

2x(x^2 + 3x + 4)

= 2x^3 + 6x^2 + 8x

multiplcation problem with a monomial and a polynomial

3x^2(x^3 - 3x^2 + 6x - 5)

=3x^5 - 9x^4 + 18x^3 - 15x^2