Add/Subtract Polynomials
Simplify the expression.
(2x3-5x+3)+(2x3+3x)
4x3-2x+3
Simplify the expression
(2x - 1)(x + 3)
2x2 + 5x - 3
Factor the following.
x2 + 8x + 15
(x + 3)(x + 5)
Factor completely.
3x2 + 5x + 2
(x + 1)(3x +2)
A triangle has side lengths (x+1),(2x - 5), and (4x+3). Find the perimeter.
7x - 1
Simplify the expression
(3x2+4x-2) + (9x3-4x2+5x)
9x3-x2+9x-2
Multiply
(3x + 5)(2x - 4)
6x2 -2x -20
Factor the trinomial.
x2 - 12x +32
(x - 8)( x - 4)
Factor the following.
2x2 - 7x -9
(2x - 9)(x + 1)
Sara is building a new fence around her rectangular garden. The width of the garden is (2x +2) and the length is (3x -1), in feet. How much fencing does Sara need to surround the garden.
10x + 2 ft
Subtract (x2 +x -2) from (4x2 - 3x)
3x2 -4x + 2
(x - 7)2
x2 - 14x + 49
Factor the quadratic.
x2 - x - 56
(x - 8)(x + 7)
Factor the trinomial.
6x2 - 4x - 4
(3x - 4)(2x + 1)
Find the area of a picture frame with width (x+4) and length (x +5) in inches.
x2 + 9x +20 in2
Simplify the expression
(x3 +7x2 -6x) - (5x2 -3x +1)
x3 +2x2 -3x - 1
(5y + x)(y - 2x)
5y2 - 9xy - 2x2
Factor completely.
2x2 + 8x - 10
2(x + 5)(x - 1)
Simplify the quadratic by factoring. Write answer in 2 ways.
16x2 - 8x + 1
(4x - 1)(4x - 1) = (4x - 1)2
The area of a rectangular plot of land is given, where x is in meters.
2x2 +13x - 15
What could be the length and width of the land?
(2x + 15)( x - 1)
(4x2 -8) + (x3 -2x2 +1) - (x2 +5x +3)
x3 +x2 -5x -10
(x - 2)(x2 + 7x +8)
x3 + 5x2 - 6x +16
Factor completely.
4x2 + 32x + 48
4(x + 6)(x + 2)
Factor the following.
9x2 - 25
(3x + 5)(3x -5)
Consider a rectangle with sides (x) and (x+7). If both sides are doubled, what is the new area of the rectangle?
4x2 + 28x