Jae is constructing an open box from a plece of cardboard that is 9 in. wide and 12 in. long. He cuts squares of equal size from each corner of the cardboard, as shown in the picture, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x.

Q: Find the zeros for the polynomial function and give the multiplicity for each zero. State whether…

A: The polynomial function is given as

Q: State the degree and identify the leading term'and constant term of the following polynomial…

A: Given polynomial, g(x)=9x3-5x2-4x+6

Q: Fidn the zeros of the polynomial function, and state the multiplictity of each.  f(x)=…

A: Given:

Q: Use the ALEKS graphing calculator to find all the zeros of the polynomial function f(x) =…

A: Given:           f(x)=-3x3+4x2+8x-4 Graphically, the zeros of f(x) are the points at which the the…

Q: (a) determine the polynomial function whose graph passes through the points, and (b) sketch the…

A:

Q: ) State the degree and identify the leading term and constant term of the following polynomial…

A: How to determine the degree, leading term and leading coefficient of a Polynomial:- 1.Find the…

Q: Graph the polynomial function. Factor first if the expression is not in factored form. f(x) = 2x² (x…

A:

Q: Find all of the real and imaginary zeros for the polynomial function. 2) f(x) = x³ + 125

A:

Q: Find the x-intercepts of the polynomial function. f(x) = x³ – 9x² – x + 9 %3D (x, f(x)) (smallest…

A: From the given problem:   fx=x3-9x2-x+9ory=x3-9x2-x+9   For finding x-intercepts substitute y=0.…

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

A:

Q: Jae is constructing an open box from a piece of cardboard that is 9 in. wide and 12 in. long. He…

A: Let the cut part length = x in Now the new width= (g-2x) in The new length = (12-2x) in

Q: Find all real and imaginary zeros for the polynomial function f(x)=2x3−11x2+25.

A:

Q: Graph the polynomial function using a calculator. f(x) = x(16 – 2x)(10 – 2x)² y

A: Given,  The polynomial  fx = x16-2x10-2x2  We have to make the graph and find x and y intercepts

Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

Q: Find the zeros of the polynomial p(x)=x4-16

A:

Q: While hovering near the top of a waterfall in a national park at 2704 feet, a helicopter pilot…

A: The height h(t) of the sunglasses after t seconds is given by the polynomial function ht =…

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

A:

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 2x(4x +…

A: The function is given by  f(x) = 2x(4x+1)(x-6)

Q: Graph the polynomial f(x) =x^3+3x^2−4 noting the x- and y-intercepts, multiplicity, and end…

A: Given, fx=x3+3x2-4 The graph of the given polynomial is,

Q: For the polynomial function f(x) = 4x – 3x? – 5x + 6, find f(2).

A: Given: fx=4x3-3x2-5x+6 To find: f2

Q: Find Ao, A1, A2, and A3 in rewriting the function of f(x)=- x20 in terms of Lagure polynomial, x<0…

A:

Q: Find the zeros for the polynomial function f(x) = 2(x - 5)(x + 4)2 and give the multiplicity for…

A: The given equation is fx=2x-5x+42.

Q: The base of a triangle is (x + 7) cm and its height is (x - 3). Which of the following polynomial…

A:

Q: Determine the zeros and the vertical intercept of the polynomial function: f(x)=2(x−11)^2(x−6)(x−1)

A:

Q: Determine the number of zeros of the polynomial function. f(x) = x4 – 4x zero(s)

A: Consider the given function: f(x)=x4-4x Here, the degree of function f(x) is 4.

Q: Determine the degree and the zeros of each polynomial function. g(x)= x(x-6) (2x-3)

A: The given polynomial function is                                                  g(x)=x(x-6)(2x-3)…

Q: Find the polynomial that represents the length of the rope used to hold up the piñata when h(x) =…

A: In the question we have to find equation of the rope.

Q: Find all the zeros of the polynomial function. (Se fx) =x - 6r³ + 7x² + 6x- 8 1 g(x) = x-9x2- 4x +…

A: Given; 1) f(x)=x4-6x3+7x2+6x-8 2) g(x)=x4-9x2-4x+12

Q: Find all the zeros of the polynomial function g(x) = x4 - 6x3 + x2 + 24x + 16and write the…

A: Given: gx=x4-6x3+x2+24x+16 To Find: All the zeros of the polynomial function gx.Write the polynomial…

Q: Findthe zeros of the polynomial f(x) = x -12x +39x-28, If it is given

A: Explanation and solutions is given below....

Q: Find the zeros for the polynomial function f(x) = x3 + 5x2 - 9x - 45 and give the multiplicity for…

A: Given:                          f(x)=x3+5x2-9x-45 1) Find the zeroes of f(x)=x3+5x2-9x-45…

Q: Find the zeros for the polynomial function f(x) = x3 - 2x2 + x and give the multiplicity for the…

A: Given function is fx=x3-2x2+x.  fx=x3-2x2+x=xx2-2x+1=xx-12 Zeroes of the polynomial will be:…

Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: Find the zeros for the polynomial function and give the multiplicity for each zero at each zero.…

A: We will factor f(x) using the factor by grouping

Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

A:

Q: Find the zeros for the polynomial function f(x) = x3 + 4x2 + 4x and give the multiplicity for the…

A: Find the Zeroes of fx=x3+4x2+4x                          = xx2+4x+4    Factor out the GCF x…

Q: Find the zeros for the polynomial function f(x) = 4(x - 3)(x + 6)3 and give the multiplicity for…

A: fx=4x-3x+63 Now, fx=0⇒4x-3x+63=0⇒x-3=0  or  x+63=0⇒x=3  or  x=-6 Therefore zeros are x=3 with…

Q: Find the zeros for the polynomial function f(x) = x3 - 2x2 + x and give the multiplicity for each…

A: The  polynomial function is given f(x) =x3- 2x2+x. To find the zeros of the polynomial function ,…

Q: Find all zeros of the function and write the polynomial as a product of linear factors. 2) f(x) = x3…

A: NOTE: Refresh your page if you can't see any equations. . here we have here x=-2 is a root so…

Q: The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the…

A: We have to find the polynomial function for the height of the roller coaster.

Q: Graph the polynomial function. Factor first if the expression is not in factored form. f(x) = x° +7x…

A: Given, f(x)=x3+7x2+7x-15

Q: A house is purchased for $109,000 and is expected to appreciate $600 per year. (a) Find a polynomial…

A: *let, number of years = x   *given:- purchasing value = $ 109000 appreciation value = $ 600 per year…

Q: Find the factor of polynomial  f(x) = x^2-6x+8

A: We have to find the factor of polynomial  f(x) = x2 - 6x + 8

Q: Determine the degree and the zeros of each polynomial function. f(x) = (x+4)(x+8)

A: Let's find.

Q: Factor out the GCF from the given polynomial y(x+1)+3(x+1)

A: The given expression is y(x+1)+3(x+1)   Known fact: The greatest common factor or GCF is the largest…

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.