Definitions
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
a term
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
3x2(2x4+4)
6x6+12x2
(x + 6) (x + 3)
x2 - 3x - 18
The number before a variable within a term is called the...
Coefficient
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
(x-2)(x2+x+1)
x3-x2-x-2
(3x - 4)(2x + 5)
6x2 + 7x - 20
A term that has no variable
Constant
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(8x-5)(3x+2x2-6)
16x3 + 14x2-63x+30
(x - 8)(2x + 3)
2x2 - 13x - 24
The highest exponent on the variables in a term
Degree of the term
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
(x2+7x+1)(3x2+4x-2)
3x4+25x3+29x2-10x-2
(y + 9) (y + 9)
y2 + 18y +. 81
Terms that have the same variables and the same degree are....
Like terms
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
-x2 + x - 4
(9x2-1)2
81x4-18x2+1
(x - 12)(x + 12)
x2 - 144