2x( x + 3 )
2x2 + 6x
(x+2)(x+3)
x2 + 5x + 6
A square has a side length of 2x+1. What is the Area of the square as a polynomial
4x2 + 4x + 1
Factor.
x2 +2x +1
(x+1) (x+1)
(-x3) ( x4 - x )
-x7 + x4
(x-7)(x+2)
x2 -5x -14
A rectangle's width is 3x2-5 and its length is 8x3 Find the perimeter as a polynomial.
16x3+6x2 -10
Factor.
6p3+18p2
6p2(p+3)
(x+3)(x2+3x+10)
x3+6x2+19x+30
(2x+4)(x-8)
2x2 -12x -32
A triangle has a height of 4x-2 and a base of x2. Express the area as a polynomial.
2x2 - x2
Solve.
x2 - 4x +4 = 0
x=2
(5x-3) + (4x+7) + (2x-6)
11x-2
(x2-5)(2x3+4x2-5)
2x5+4x4-10x3-25x2+25
(x2- 10)2
x4 - 20x2 + 100
A triangle has a base of 2x3-2x+10 and a height of 3x2 + 5. Express the area as a polynomial.
3x5+2x3+15x2-5x+25
Solve.
x2 +x = 56
x=-8, x=7
(-x3+3x2)(2x4-5x3-11x)
-2x7+11x6-15x5+11x4-33x3
(-x2 + 2x ) ( -x2 - 5 )
x4+5x2-2x3-10x
A cube has a side length of 2x2 - 4 Express the volume as a polynomial.
8x6 - 48x4 - 96x2 + 64
Solve.
x3 -18x = 7x2
x=0, x=9, x=-2