Let the polynomial function g be a function of x. The graph of the polynomial has four zeros at -5, -,0,7. Select all the expressions that could represent g: -4x(x + 5)(4x +3)(x – 7) -4x(x + 5)(4x +3)(x – 7)² 4x(x – 5)(x + )(x + 7) 4г(ӕ + 5)(3г — 4)(ӕ — 7) -æ(x + 5)(x + )(x – 7) a. b. C. d. - е.

Q: Write a polynomial function in standard form with zeros at 5, -4, and 1. Select one: O a. Jx) = x3 -…

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Q: Consider the following polynomial: h(x)=2(x-1)2(x+1)3(x-2)(x+2) Find the x-intercepts, their…

A: Given equation is To find x intercept , substitute h(x) with 0 and apply zero factor property

Q: Use transformations of the graph of y = x4 or y = x5 to graph the function. 1) f(x) = (x +2)5 + 4…

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Q: Describe the end behavior of each polynomial. (a) y = x3 - 4x² + 2x – 18 %3D End behavior: as x → oo…

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Q: The solid box has a dimension of (2x + 7)cm by (2x + 3)cm by (3x + 4) cm. (a). Find the polynomial…

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Q: State the degree of each polynomial. Then, state the end behaviour for each a) S(x) b) g(x) = 3x(x –…

A: Given: a) f(x)=-1213x+53+1 b) g(x)=3xx-43x+52 To find: Degree and end behavior.

Q: A 36-cm wire is cut into four pieces to form a rectangle with width x cm. a. Write a polynomial…

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Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax2 + bx + c passes through…

A: We have to solve the value of a, b and c.

Q: FInd p(2) and p(-5) for each polynomial function. 1. p(x)=4x3-3x2-24x-9 2. p(x)=6x3-4x2-14x+4

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Q: Graph the polynomial function using a calculator. f(x) = x(x – 4)(x + 4) y 6아 60 4아 4아 2아 2아 -8 -6…

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Q: Find the zeros for the polynomial function f(x) = -2(x - 1)(x + 2)2(x + 5)3 and give the…

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Q: for each polynomial function, find all zeros and their multiplicities a.  f(x)= (x-2)^3(x^2 -9) b.…

A: Given polynomial functions are as follows:

Q: Simplify each polynomial function. Be very careful! -10(u + v) + 8(u - 1) - 3(u + 6) = 7x -[2(x² -…

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Q: Use the x-intercepts (don't forget the multiplicity), the end behavior, or any other properties of…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: For the equations 2x3 - 5x2 + x + 2 = 0,  2x3 - 3x2 - 11x + 6 = 0, 12x3 + 16x2 - 5x - 3 = 0 and 3x3…

A: Given: 2x3-5x2+x+2=02x3-3x2-11x+6=012x3+16x2-5x-3=03x3+7x2-22x-8=0 Note: Here we are solving for…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.