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Remainder Theorem: Applications of Polynomial Functions

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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

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?
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?
Polynomial Applications
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?
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?
Polynomial Applications
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?
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?