A monomial or the sum of monomials
polynomial
Write in standard form:
4z-2z2-5z4
-5z4-2z2+4z
5x(2x - 4)
10x2-20x
(x + 5)(x + 2)
x2+7x+10
The sum of two monomials
binomial
Find the sum:
(2x2+6x+4)+(5x2-7)
7x2+6x-3
-4x(3x - 2)
-12x2+8x
(x+4)(x-3)
x2+x-12
The sum of the exponents of all of a monomials variables
degree
Find the difference:
(2x-2y+1)-(3y+4x)
-2x-5y+1
2y(2x - 3y + 5)
4xy - 6y2+10y
(2x-3)(x-5)
2x2-13x+15
A method used to multiply binomials
FOIL method or distributive property
Find the sum:
(x2y-3x2+y)+(3y-2x2y)
-x2y-3x2+4y
3x2(4x2 - 5x + 3)
12x4 - 15x3 + 9x2
(2x + 4y)(3x - 2y)
6x2+8xy-8y2
The coefficient of the first term of a polynomial in standard form
leading coefficient
An equilateral triangle has a side length of 3x2+5x+12. What is its perimeter?
9x2+15x+36
-4xy2(3x2y - 3x + 2y - 5)
-12x3y3 + 12x2y2 - 8xy3 +20xy2
(3x + 4)(2x2 + 3x - 5)
6x3+17x2-3x-20