Add/subtract polynomials
(2x + 5y) + (3x – 2y)
5x + 3y
The side of a square measures (x + 1) units. What is the area? (A=s2)
x2 + 2x + 1 units2
–3x(4x2 – x + 10)
–12x3+ 3x2– 30x
9x3 +3x2 - 27x
3x
(2x3 + 25x2) / (x)
2x2 + 25x
(3x3+ 3x2 – 4x + 5) + (x3– 2x2+ x – 4)
4x3+ x2 – 3x + 1
The side of a square measures (x-2) units. What is the perimeter of the square?
4x - 8 units
(x + 3)(x + 2)
x2+ 5x + 6
Factor completely:
x2 - 100
(x+10)(x-10)
2xy/xy
2
(-7x2 – x – 4) - (x2 – 2x – 3)
-8x2 + x - 1
The base of a triangle measures 4x units. The height measures (x - 5) units. What is the area of the triangle? ( A= 1/2bh)
2x2 - 10x units2
(x - 3)(x + 2)
x2 - x - 6
Factor completely:
x2 +2x - 3
(x - 1)(x + 3)
(y2 - 5xy + xy2)/(y)
y - 5x + xy
(x3+ 5x2– 2x) + (x3+ 3x – 6) - (–2x2+ x – 2)
2x3 + 7x2 - 4
The side of a cube measures 3x2 units. What is the volume of the cube? (V=s3)
27x6 units3
(4x2 – 4x – 7)(x + 3)
4x3+8x2 – 19x – 21
Factor completely:
2x2+ 10x+ 12
(2)(x + 2)(x + 3)
(30a2 + 15a - 3)/3
10a2 + 5a - 1
(x3+ 3x2+ 5x – 4) – (3x3– 8x2 – 5x + 6)
-2x3 + 11x2 + 10x - 10
A student has (4x4 - 12x2 + 9x) pieces of candy. That student will split the candy among (3x) students. How many pieces of candy will each student get? Express your answer as a polynomial.
(4/3x3 -4x + 3) pieces each
(x - 5)2
x2 - 10x + 25
Factor:
x2 - 18x + 81
(x - 9)(x - 9) = (x-9)2
(5x2yz + xyz - 10xy2)/5z
x2y +(xy/5)-(2xy2/z)