In mathematics, a polynomial is an expression constructed from one or more variables and constants, using the operations of addition, subtraction, multiplication, and constant positive whole number exponents.
Polynomials are one of the most important concepts in algebra and throughout mathematics and science. They are used to form polynomial equations, which encode a wide range of problems, from elementary story problems to complicated problems in the sciences.
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Algebra: Polynomials Videos
Combining Like Terms
Video Clip Length:
1 minute 13 seconds
Video Clip Views:
This tutorial shows how to combine like terms in given polynomial, the variables, and the constants. You will learn to combine the coefficients of the same variable as well as pay attention to the signs of coefficients, for there are different rules for different signs and same signs.
Algebra: Polynomials Word Problems
A box with no top is to be made from a piece of metal
A box with no top is to be made from an 8 inch by 6 inch piece of metal by cutting identical squares from each corner and turning up the sides. The volume of the box is modeled by the polynomial 4x3
+48x. Factor the polynomial ...
Suppose you are at the gas station
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
a) What does the number 3.03 represent?
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? ...
Long Polynomial Division
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
Algebra: Polynomials Practice Questions
) / (3x-1)
A diagram shows a rectangular region, one of whose corners lie on the graph of y = -x2
+ 2x + 4...
+ 5x - 6 = 0
-2x divided by 2x-3
+7x-6 is divided by x-1
Write a polynomial for the length of the rectangle: Area is 7x4
Find a polynomial for the perimeter and for the area using d+4 and d
Find the height and length of the container using (3t+2)(2t+4)
+ 10x – 4) ÷ (x + 3)
+44b+49) / (6b+5)
If you multiply (x+1)^20 how many terms will there be?
Find the side length of a square whose area is 529 ft2
2ab(5a + 4b)=
find the value of the coefficient of 1/x in the expansion (2x - 1/x)^5
The width of a rectangular painting is 3 in. more than twice the height.
a frame that is 2.5 in. wide goes around the painting.
a) write an expression for the combined area of the painting and frame.
b) use the expression to find the combined area when the height of the painting is 12 ...
A polynomial in x has degree 3. The coefficient of x2 is 3 less than the coefficient of x3. Te coefficient of x is three times the coefficient of x2. The remaining coefficient is more than the coefficient of x3. The sum of the coefficients is -4...
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