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