Consider the following polynomial. f(x) = x³ + 5x2 – 9x – 45 Step 1 of 3: Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros. Be sure to include all po

Q: Find the nth Maclaurin polynomial for the function. f(x) = 4x-5      ,    n=4           x+1

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Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) n = 4 x + 1 P4(x) = %3D

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Q: Consider the polynomial h with h"(x)=(x-5)^3(x-3)^2 Use the definition of an inflection point to…

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Q: Write a polynomial f (x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: Select the end behavior of the polynomial equivalent of R(x). a. Up to the left, Up to the right b.…

A: The end behavior of the polynomail equivalent of R(x) is

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) = n = 4 P4(x) =

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Q: Consider the following polynomial. r(x) = – 5x²(x – 2)(x + 6) %3D Step 2 of 2: Describe the behavior…

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Q: Find the zeroes of the polynomials f(x) = x3 -12x2+39x, if it is given that the zeroes are in AP

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Q: Find the zeroes of the polynomials f(X) =x3-12x2+39x-28 ,if it is given that the zeroes are in AP

A: Given f(x)=x3-12x2+39x-28  Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: Consider the following polynomial function. f(x) = 2x³ – 7x² + 4x + • | Step 1 of 4: Factor the…

A: We can factorise it s below

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

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Q: Consider the following polynomial. q(x) = 7x² – 8x Step 2 of 2: Describe the behavior of the graph…

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Q: Find the nth Maclaurin polynomial for the function. 2x - 5 f(x) n = 4 %D x + 1

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Q: Write a polynomial f(x) that satisfies the given conditions.  Degree 3 polynomial with integer…

A: Given that polynomial degree is 3 and zeros are 7i and 8/7

Q: Find the nth Maclaurin polynomial for the function. 4x - 3 f(x) n = 4 X + 1 P4(x) =

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Q: Find all the real zeros of the following polynomial. f(x) = x° + 3x³ - 10x

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Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: The answer is given below:

Q: Consider the following polynomial function. f(x) = x- 5x + 4x? + 10x - 12 %3D Step 1 of 4: Factor…

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Q: Find Ao, A1, and A2 in rewriting the function of f(x)={* x20 in terms of Lagure polynomial, 00 S(x)…

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

A: Definition used:The end behavior of a polynomial function is the behavior of the graph of f(x) as x…

Q: 12.) Degree 2 polynomial with zeros 2-3i and 2 + 3i.

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Q: Find a polynomial of the form 3 2 f(x) = ax° + bx + cx + d such that f(0) = -2, f(-2) = -5, f(-3) =…

A: We have to solve given problems:

Q: Evaluate the following polynomial functions given its certain conditions. P(x) = 3x3 - 6x +7 P(-1)…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) = n = 4 x + 1 P4(x) =

A: A Maclaurin polynomial of nth order  for the function f(x) is               f(x) = ∑n=0∞fn(0)n!xn,…

Q: Find the zero/s of the given polynomial function f(x) = x* + x³ – 29x2 – 9x + 180

A: The factors of a quadratic form of equation ax2+bx+c can be calculated using integer factorization .…

Q: Find bounds on the real zeros of each polynomial function; f(x)= - x4 + 3x3 - 4x2 - 2x + 9

A: The steps to find the bounds on the real zeros are as follows: The leading coefficient, that is the…

Q: For the polynomial below, 2 is a zero. f(x) =x-4x + x + 6 Express f (x) as a product of linear…

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Q: Consider the following polynomial function. f(x) = x - 3x3 - 17x2 + 21x + 70 Step 3 of 4: Find the…

A: Solve the following

Q: Evaluate the following polynomial functions given its certain conditions. P(x) = 6x3 - 2x² + 11x-6,…

A: Given: Px=6x3-2x2+11x-6 To Find:  To determine the value of P2.

Q: Consider the following. f(x) = x4 + 6x2 – 27 - (a) Write the polynomial as the product of factors…

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Q: Give the degree and leading coefficient of the following polynomial function. f (z) = a 4.x3 – 2x)…

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Q: For the polynomial below, –2 is a zero. - h (x) = x² – 2x² – 3 3DX 6x + 4 Express h (x) as a product…

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Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

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Q: For the polynomial below, 3 is a zero. h (x) =x³ - 5x2 + 4x + 6 Express h (x) as a product of linear…

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Q: Find the nth Maclaurin polynomial for the function. 3x - 1 F(x) = n = 4 x + 1

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Q: For the polynomial below, 3 is a zero. 3 s(x)=x° + x² - 15x + 9 Express f (x) as a product of linear…

A: Given function is fx=x3+x2−15x+9 and given 3 is the zeros of the given polynomial. We have to…

Q: For the polynomial below, -1 is a zero. h (x)=x - 3x - 3x + 1 Express h (x) as a product of linear…

A: This problem can be solved by just diving and then write the expression as factor form.

Q: Consider the following polynomial. F(x) = x³ + 8x? + 9x – 18 Step 1 of 3: Use Descartes' Rule of…

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Q: For the polynomial below, 3 is a zero. f(x) = x³ - 2x - 5x + 6 Express f(x) as a product of linear…

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Q: Consider the following polynomial function. f(x) = 4x-33x2 +72x 16 Step 1 of 4: Factor the…

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Q: Consider the following polynomial function. f(x)=5x3−4x2−7x+6f(x)=5x3−4x2−7x+6 Step 1 of 4 :…

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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: For the polynomial below, 1 is a zero. f(x) = x³ - 5x² + 3x + 1 Express f(x) as a product of linear…

A: Given:

Q: For the polynomial below, –1 is a zero. f(x) =x - 3x - 3x + 1 Express f (x) as a product of linear…

A: Given: A polynomial fx=x3-3x2-3x+1 of which -1 is a zero. Now as its given that -1 is a zero,…

Q: Evaluate the following polynomial functions given its certain conditions. P(x) = 7x^4 - 2x3 + 4x2 -…

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Q: Consider the polynomial g(x) (x - 1)(2x + 1)(3z –1)(5x + 1). A. What are the roots of g? B. Suppose…

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Q: Find the nth Maclaurin polynomial for the function. 5x - 4 f(x): n = 4 x +1 P4(x) =

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Q: Consider the following polynomial. h(x) = -4x²(x + 8)(x + 2) %3D Step 2 of 2: Describe the behavior…

A: We will determine the behaviour of the graph of h(x) as x approaches + infinity as following.

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: Find a bound on the real zeros of the polynomial function. 45) f(x) = x4 + 2x2 - 3

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.