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
3(3x)
9x
(2x2 - 3) / 2
x2 -1.5
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:
(3x + 7)(2x)
6x2 + 14x
(3x2 - 4) / 2
1.5x - 2
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:
3x2 (2x2 + 4)
6x4 + 12x2
(10x4 + 15x3 - 5x2 )/5x.
2x3 + 3x2 - x
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
(4x)(4x-3)
16x2-12x
(9y4 - 18y2 + 6y) / 3y
3y3 - 6y + 2
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) - (3x2 -2x + 4)
-x2 + x - 4
(2y-3y+6)(3y)
-3y2+18y
4(-16x6 - 24x4 + 8x3) / 8x3
-8x3 - 12x + 4