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Polynomial Applications

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Wize High School Grade 12 Pre-Calculus Textbook > Polynomial Functions

Applications of Polynomial Functions

4 Activities

Wize High School Algebra II Textbook (Common Core) > Polynomial Functions

Applications of Polynomial Functions

4 Activities

Practice: Polynomial Applications

A box is constructed by cutting a square of side length 'xx' from each corner and folding up the sides. The width of the box is 1 cm greater than the height and the height of the box is 2 cm greater than the length. If the volume of the box is 6 cubic centimeters, what are the dimensions of the box?
More Applications of Polynomial Functions Questions:
Polynomial Applications
Practice: Polynomial Applications
The volume of a fish tank is given by V(x)=x3−16x2+79x−120V(x)=x^3−16x^2+79x−120. If the length of the fish tank is (x−5)(x-5), what are the dimensions for the width and depth?
Polynomial Applications
Practice: Polynomial Applications
The volume of a box is 10x3+65x2+100x+45 cm310x^3+65x^2+100x+45~\text{cm}^3 . The perimeter of the box is 50cm50\text{cm}. What is the surface area?
Polynomial Applications
Practice: Polynomial Applications
A 10-inch by a 20-inch piece of cardboard is cut and folded into an open lid box. If 'x' inches is cut from each corner, what is an expression for the volume?
Remainder Theorem: Applications of Polynomial Functions
The remainder when x3−ax2+bx+3x^3-ax^2+bx+3 is 2 when divided by x−1x-1.
The remainder when 3x3+ax2+bx+13x^3+ax^2+bx+1 is -1 when divided by x+2x+2.
What are the values of aa and bb?
Graphing Polynomial Functions
Write a polynomial function in the form y=a(x−h)n+ky=a(x-h)^n+k, where n∈Nn\in\mathbb{N} and the degree of the polynomial for the following:
Polynomial Applications
A block has a hollowed out center with the dimensions shown below.
Polynomial Applications
Practice: Polynomial Applications
The volume of a box is 10x3+65x2+100x+45 cm310x^3+65x^2+100x+45~\text{cm}^3 . What are the dimensions of the box?
More Applications of Polynomial Functions Questions:
Polynomial Applications
Practice: Polynomial Applications
The volume of a fish tank is given by V(x)=x3−16x2+79x−120V(x)=x^3−16x^2+79x−120. If the length of the fish tank is (x−5)(x-5), what are the dimensions for the width and depth?
Polynomial Applications
Practice: Polynomial Applications
The volume of a box is 10x3+65x2+100x+45 cm310x^3+65x^2+100x+45~\text{cm}^3 . The perimeter of the box is 50cm50\text{cm}. What is the surface area?
Polynomial Applications
Practice: Polynomial Applications
A 10-inch by a 20-inch piece of cardboard is cut and folded into an open lid box. If 'x' inches is cut from each corner, what is an expression for the volume?
Remainder Theorem: Applications of Polynomial Functions
The remainder when x3−ax2+bx+3x^3-ax^2+bx+3 is 2 when divided by x−1x-1.
The remainder when 3x3+ax2+bx+13x^3+ax^2+bx+1 is -1 when divided by x+2x+2.
What are the values of aa and bb?
Graphing Polynomial Functions
Write a polynomial function in the form y=a(x−h)n+ky=a(x-h)^n+k, where n∈Nn\in\mathbb{N} and the degree of the polynomial for the following:
Polynomial Applications
A block has a hollowed out center with the dimensions shown below.
Polynomial Applications
Practice: Polynomial Applications
The volume of a box is 10x3+65x2+100x+45 cm310x^3+65x^2+100x+45~\text{cm}^3 . What are the dimensions of the box?