A country's census lists the population of the country as 252 million in 1990, 285 million in 2000, and 312 million in 2010. Fit a second- degree polynomial passing through these three points. (Let the year 2000 be x 0 and let p(x) represent the population in millions.) p(x) = million Use this polynomial to predict the populations in 2020 and in 2030. 2020 million 2030 million

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A: Topic = Polynomial

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

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A: Solution

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Q: A country's census lists the population of the country as 264 million in 1990, 286 million in 2000,…

A: Given that the population of the country as 264 million in 1990, 284 million in 2000, and 304…

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A: Since, we know thta if a polynomial has zero at x=m the, x-m is a factor of that polynomial.Since,…

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A: A general equation of polynomial having zeros a, b, and c is given by

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Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: We have to find the expression.

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A: Explanation of the answer is as follows

Q: The U.S. census lists the population of the United States as 249 million in 1990, 282 million in…

A: We are given three points so we make an equation of second-degree polynomial;

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Q: 2. Find the Zeros of a Polynomial Function: x3 + 2x2 + 25x + 50 Process: x3 + 2x² + 25x + 50 →…

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Q: Find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of x3 is -6.

A: We need to find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of…

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Q: Write a polynomial function f of least degree that has rational coefficients, a leading coeficient…

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Q: find the zeros and multiplicities of the polynomial f(x)=x^3-x^2-x+1

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Q: Consider the polynomial given below. P(x) = (x − 1)(x − 3)(x − 2)(x − 3)   what is the leading…

A: The given polynomial is,

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Q: Sketch the graph of each polynomial function and identify all of the zeros. a. y=x+1 b. y = x -8 -7…

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Q: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient…

A: Given zeros are 2and (3+i)which means all the zeros of polynomialare+2,-2,  3+i,…

Q: Find all zeros of polynomial  P(x) = 3x^3+x^2+7x-6

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Q: Determine the least possible degree of the polynomial function shown. y 31 2 -5 -4 -3 -2 -1 1 4) 3.…

A: This question is about degree of polynomial

Q: Find the value of the polynomial  5x-4x2+3 at x = 2 and x = -1

A: Given, F(x)= 5x-4x2+3 At x=2 F(2)= 5*2-4*22+3 F(2)= -3

Q: Find the value of k in the given polynomial if one of the zeroes is - 3  (k-1)x2+kx+1

A: The given function is  f(x) = (k-1)*x2 + kx +1

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

A: Given: The points are (2,5),(3,0),(4,20)

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A: Given problem is :

Q: A ____ is a polynomial that has two terms, and a _____is a polynomial with three terms.

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A: A polynomial with an nth degree has n number of roots. The end behaviour of the graph is how the…

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

A: Polynomial function passes through the points 2, 5, 3, 2 & 4, 5. Let the required function be…

Q: A country's census lists the population of the country as 245 million in 1990, 289 million in 2000,…

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Q: Determine the polynomial p(x) = a0 + a1x + a2x2 whose graph passes through the points (1, 4), (2,…

A: given: a polynomial p(x)=a0+a1x+a2x2 whose graph passes through the points (1,4), (2,0) and (3,12)…