Definitions
What is a number or variable separated by a plus or minus?
A term
Add
(4x + 9) +(x - 4)
5x + 5
Subtract
(g - 4) - (3g - 6)
-2g + 2
3(3x)
9x
(2x+6)/2
x+3
The number in front of a variable is called
A coefficiant
Add
(-3a - 2) + (7a + 5)
4a + 3
Subtract
(-5h - 2) - (7h +6)
-12h - 8
(3xz3)(-2xyz)
-6x2yz4
(4x3 + 16x2 - 20x)/4x
x2+4x-5
A term with no variables is called
Constant
Add
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply
3x2 (2x4 + 4)
6x6 + 12x2
6x2/x
6x
The highest exponent of a polynomial is called
The degree
Add
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
(4x)(4x-3)
16x2-12x
The area of a rectangle is 6x2+24x. One of its sides has a length of 6x. What is the width of the rectangle?
x+4
Terms with the same variables and degrees are called
Like/common terms
A rectangle has a length of (1 -2x + 2x2) and a width of (-1 + x2 + 2x), determine the perimeter.
6x2
A rectangle has a perimeter of (12x2 - 8x) and a length of (2x2 + x). Determine the width of the rectangle
4x2 - 5x
A rectangle has a length of (2x-3y+6) and a width of (3y), determine its area.
6xy-9y2+18y
(5xy2-10x2y-30xy)/5xy
y2-2x-6