Adding/Classifying Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Linear Binomial
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Linear Binomial
Multiply the Polynomials:
3x2 (2x4)
6x6
Factor:
x4-42x2
x2(x2-42)
Factor:
p2 +2p -35
(p-5)(p+7)
Find the area of a rectangle if the length is (x-5) and the width is (x+9).
x2+4x-45
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Linear Binomial
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Linear Binomial
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Factor:
5a3+10a2
5a2(a+2)
Factor:
z2 - 4z - 21
(z+3)(z-7)
Find the area of a trapezoid if b1=2x+1, b2=4x-5, and h=2x+5
A=1/2(b1+b2)h
6x2+11x-10
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Linear Binomial
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Quadratic Trinomial
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
Factor:
2x2 - 8
2(x+2)(x-2)
Factor:
-5y2 - 22y - 8
-(5y+2)(y+4)
The area of a rectangular pool is 5x2+58x+80. If the length is (x+10), what is the width?
(5x+8)
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Cubic Polynomial
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Cubic Polynomial
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Factor:
4p2 - 361
(2p+19)(2p-19)
Factor:
x2 - 3x + 4ax - 12a
(x+4a)(x-3)
The volume of a rectangular prism is x3+x2-4x-4. What are the dimensions of the object?
(x+2), (x+1), (x-2)
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Quadratic Monomial
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Quadratic Trinomial
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
Factor:
x2+46x+529
(x+23)2
Factor:
n3 - 9n
n(n+3)(n-3)
A rectangular garden has a width of 4 ft and a length of 6 ft. There is a border around the garden that is x ft by x ft. What is the area of the garden and the border?
4x2+20x+24 ft2