A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 144 feet per second. The polynomial h(t)=144t−16t2h(t)=144t-16t2 gives the height of the falling debris above the ground, in feet, tt seconds after the explosion. How high, in feet, will the debris be 4 seconds after the explosion? How many seconds will it take for the debris to land back on the ground?

Q: Does x=−5 solve the following polynomial equation? 6x7-151x5=8x4-75x2

A: Given, 6x7-151x5=8x4-75x2------(1) Substituting x=-5 in (1), we get 6(-5)7-151(-5)5=8(-5)4-75(-5)2

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Q: b) use the quadratic polynomial to estimate the outdoor temperature at 9:30 am, to the nearest tenth…

A: (b) Finding the quadratic polynomial Let's assume the quadratic polynomial ;  y = at2 +bt +c Finding…

Q: The polynomial y=−0.74x^4+3.2x^3+26.1 describes the billions of flu virus particles in a person’s…

A: The number of virus particles(in billions) in person's body after x days is given by…

Q: What is the leading term of the polynomial (v2z – 3x

A: The given polynomial is:  2x2-3x+963x-1433

Q: . The polynomial 3x3 + mx2 - nx – 10 has a factor of x - 1. When divided by  x + 2, the remainder is…

A: given that x-1 is factor

Q: find the equation of a polynomial with the following zeros: 2, -1, 0, 4+i square root 5, 4-i square…

A: In the question we have to find the equation of polynomial  with the following zeros: 2, -1, 0, 4+i…

Q: How can you quickly determine the number of roots a polynomial will have by looking at the equation?

A: To determine the number of roots of a polynomial

Q: what method should you use for a polynomial with 4 terms

A: The method to factor a polynomial with four term. Consider the polynomial of 4 terms is,…

Q: If a sixth-degree polynomial is divided by a third-degree polynomial, what is the degree of the…

A: We have to find the degree of the quotient polynomial If a sixth degree polynomial is divide by a…

Q: Find the quotient and remainder when the first polynomial is divided by the second.…

A: Given        x3+9x2+18x-7 , x+4

Q: Find the value of the polynomial 3x3-4x2+7x-5 when x = 3

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Q: What is the remainder when f(x) =x3 - 2x2 +4x -21 is divided by x - 3? Is x - 3 a factor of f(x)?

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Q: Write an eighth-degree polynomial in factored form that is decreasing at both ends, has a single…

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Q: Find the zeros of the quadratic polynomial f(x) =6x2 -3,and verify the relationship between the…

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Q: Find the zeroes of the polynomial by factorization method 3x2+4x-4

A: The given equation is  3x^2+4^x-4 = 0

Q: The polynomial   y=−0.79x4+2.8x3+26.3 describes the billions of flu virus particles in a person’s…

A: The number of flu particles in a person’s body x days after being infected is given by the function:…

Q: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

Q: If a sixth degree polynomial is divided by a third degree polynomial, what is the degree of the…

A: Explained below

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A:

Q: The area of the photo frame can be expressed as the polynomial 24y2 - 31y- 15. Which equation could…

A: The area of the phote frame is 24y2-31y-15

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A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: If a house is purchased for $111,000 and is expected to appreciate $1100 per year, its value after x…

A: Given, the expression for the first house is, f(x)=1100x+111000 Then, the cost of the first house…

Q: One of the zeroes of the polynomial 2x2+7x-4 is

A:

Q: When a polynomial, P(x), is divided by 2x - 1, the quotient is x2 - 8x + 3 and the remainder is -12…

A:

Q: Divide the first polynomial by the second polynomial using the long division method.  Show complete…

A: We need to divide x3+3x-4x2-12   by  x-4 x3+3x-4x2-12  can also be written as x3-4x2+3x-12  Hence,…

Q: Determine the equation of the polynomial function with zeros -2, -1, +1 and y-intercept (-6).

A: We know that the polynomial has 3 roots. Therefore let; f(x) = a(x+2)(x+1)(x-1)

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: A storage company is designing a new storage unit. Based on the dimensions shown, the volume of a…

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Q: A large explosion causes wood and metal debris to rise vertically into the air with an initial…

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Q: for a certain company, the cost for producing x items is 35x + 300 and the revenue for selling x…

A: The cost for producing x items = 35x + 300 revenue collected by selling x items = 75x - 0.5x2 The…

Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

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Q: Fnd the equation of third degree polynomial whose zeroes are 6,7,10

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Q: If the leading term of a polynomial is -5x^3, what do you know about the end behavior?

A: Given:

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

A: Given: Height of the coaster is defined by h(t) = 0.3t3-5t2+21t  Where t= time in seconds

Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is…

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games…

Q: If a fifth degree polynomial is divided by a third degree polynomial, what is the degree of the…

A: Let there be two polynomials fx=ax5+bx4+cx3+dx2+ex+f and gx=mx3+nx2+px+q where a≠0, m≠0.

Q: Complete the term-coefficient-degree table for the polynomial. y4 − y3 + 10y2 + 7y

A: The degree of polynomial is equal to the degree of the highest degree term.

Q: find the remainder when the polynomial 2x4-5x3+12x-7 is divided by 9x+10

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Q: Write an equation for a polynomial that has four turning points, end behavior of up and down, and…

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Q: The polynomial C(x)=6x 2+90x gives the cost, in dollars, of producing a rectangular container whose…

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Q: The polynomial -0.72x + 2.9x° +27 describes the billions of flu virus particles in a persons body x…

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Q: 2. Add one term to the polynomial expression 14x19 – 9x²5 + 11x* + 5x² +3 to make it into a 22nd…

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Q: A shed in the shape of a rectangular prism has a volume of 910 cubic feet. The length of the…

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Q: What is the degree of the polynomial, 16y3+10x25-119x56?

A: degree of polynomial is highest power of variable occurring in polynomial

Q: Find the third degree polynomial function that has zeros -10 and -12i, and a value of 1,776 when x=2

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Q: Write an equation for a polynomial that has four turning points, end behavior of up and down, and…

A: