What is a number or variable in a polynomial that is separated by an addition or subtraction sign
a term
Add the Polynomials
(4x + 5) +(2x + 4)
6x + 9
Subtract the polynomials:
(7g + 10) - (3g + 6)
4g + 4
3(3x)
9x
Calculate the perimeter:
12x2
The number before a variable within a term is called the...
Coefficient
Add the polynomials:
(3a + 5) + (4a - 2)
7a + 3
Subtract the polynomials:
(5h + 2) - (7h +6)
-2h - 4
Multiply the Polynomials:
(3x)(2x2)
6x3
Calculate the area
25x2
A term that has no variable
Constant
Add the polynomials:
(3x - 5) + (6x - 3)
9x - 8
Subtract the polynomials:
(2x + 5) - (5x - 3)
-3x + 8
Multiply the Polynomials:
3 (2x + 4)
6x + 12
Calculate the perimeter
6x + 10
Terms that have the same variable and exponent
Like terms
Add the polynomials:
2(4t - 3) + (2t +7 )
10t + 1
Subtract the Polynomials:
2(6a + b) - (5a - 3b)
7a + 5b
-4x(5x - 3)
20x2 - 12x
Calculate the area
12x2 - 4x
Terms that don't have the same variable and exponent
Un-like terms
Add the polynomials:
3x(2x - 4) + 5x(2x + 2)
16x2 - 2x
Subtract the Polynomials:
x2(2x + 3) - 3(x2 - 2x)
2x3 + 6x
3x2(2x3 - x2 + 6x)
6x5 - 3x4 + 18x3
Calculate the perimeter:
16x - 12