1
2
3
4
5
100
(5x)(6x^3)
30x^4
100
(x+2)(1-4x+2x^2)
2x^3-7x+2
100
(2+3x)(1+x)
2+5x+3x^2
100
(x-6)(3-8x-4x^2)
-4x^3+16x^2+51x-18
100
(3+2x)(4-7x+5x^2
10x^3+x^2-13x-18
200
(3x-2)(2x^2+3x-1)
6x^3+5x^2-9x+2
200
(x^3+3x^2+1)(3x^2+6x-2)
3x^5+15x^4+16x^3-3x^2+6x-2
200
(x^2+9x+7)(3x^2+9x+5)
3x^4+36x^3+107x^2+108x+35
200
The dimensions for a rectangular prism are x+5 for the length, x+1 for the width, and x for the height. What is the volume for the prism.
X^3+6x^2+5x
200
(2x+5y)(3x^2-4xy+2y^2)
6x^3+7x^2y-16xy^2+10y^3
300
(X^3+x^2+1)(x^2-x-5)
X^5-6x^3-4x^2-x-5
300
(4x^2+3x+2)(3x^2+2x-1)
12x^4+17x^3+8x^2+x-2
300
Determine how many terms there will be after preforming the polynomial multiplication. (5x)(3x)
1 term
300
Determine how many terms there will be after preforming the polynomial multiplication. (3x)(2x+1)
2 terms
300
Determine how many terms there will be after preforming the polynomial multiplication. (X+1)(x-1)
3 terms
400
(3x-4)(2+x-7x^2)
-21x^3+31x^2+2x-8
400
Determine how many terms there will be after preforming the polynomial multiplication. (X+2)(3x^2-2x+1)
4 terms
400
(X^2+y^2)(x^4-x^2y^2+y^4)
x^6+y^6
400
(X+a)^2-(x-a)^2
4ax
400
(a+b)(a^2-ab+b^2)
a^3+b^3
500
Mr. Silvia manages a manufacturing plant. From 1990 through 2005, the number of units produced (in thousands) can be modeled by N(x)=0.02x^2+0.2x+3. The average cost per unit (in dollars) can be modeled by C(x)=-0.002x^2-0.1x+2, where x is the number of years since 1990. Write a polynomial T(x) that can be used to model Mr. Silva's total manufacturing cost for those years.
T(x)=-0.00004x^4-0.0024x^3+0.014x^2+0.1x+6
500
(2x+3)(x-5)
2x^2-7x-15
500
Brent runs a small toy store specializing in wooden toys. From 2000 through 2012, the number of toys Brent made can be modeled by N(x)=0.7x^2-2x+23, and the average cost to make each toy can be modeled by C(x)=-0.004x^2-0.08x+25, where x is the number of years since 2000. Write a polynomial that can be used to model Brent's total cost fir making the toys, T(x), for those years.
x is the number of years since 2000. T(x)=-0.0028x^4-0.048x^3+17.568x^2-51.84x+575
500
X^2+2xy+y^2
(x+y)^2
500
Ms. Liao runs a small dress company. From 1995 through 2005, the number of dresses she made can be modeled by N(x)=0.3x^2-1.6x+14, and the average cost to make each dress can be modeled by C(x)=-0.001x^2-0.06x+8.3, where x is the number of years since 1995. Write a polynomial that can be used to model Ms. Liao's total dress making costs, T(x), for those years.
T(x)=-0.0003x^4-0.0164x^3+2.572x^2-14.12x+116.2
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