Given two polynomial functions f(æ) = x° + 2a² – 28x – 35 - and g(x) = x – 5 use synthetic division to find and simplify their quotient %3D

Q: Complete the term-coefficient-degree table for the polynomial  y4 -y3 + 12y2 +3y

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Q: What will be the difference of the two polynomial function p(x) and q(x) at x= 9 where p(x)=6x2…

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Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

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Q: In  the given equation as   follows , find the nth Maclaurin polynomial for the function :- f (x) =…

A: The Maclaurin polynomial for the function f(x) is given as: fx=f0+f'01!x+f''02!x2+f'''03!x3+ ⋯…

Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

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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: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

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

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Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x                    ...(1)…

Q: Given the polynomial functions j(x) and k(x), find j(x) · k(x). j(x) = a² - k(x) = 2x³ + x² – 1

A: As per our guidelines, we are not supposed to answer Graded Questions, but since it is a previous…

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: Find the remainder when f(x) = x7 + 3x5 + x - 1 is divided by x2 +1 in Z5[x].

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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: Find the remainder R when f (x) = 6x3 + 3x2 + 2x - 11 is divided by g(x) = x - 1. Is g a factor of…

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

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Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: For the polynomial, -1 is a zero of multiplicity two. f(x)= x^4 + 6x^3 + 22x^2 + 30x + 13. Express…

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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: Q4: a) Solve by using Bisection method: x3 - x2 – 2x + 1 [0, 1]

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Q: Given p(x)=(x-4)^5 (x+1)(x-2)^3State the zeros and their multiplicities. What is the degreeof the…

A: Given:The function is, p(x) = (x−4)5(x+1)(x−2)3.

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: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

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: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

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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: Use the remainder theorem to find f (c).

A: Given that, f(x)=3x3-x2+5x-4

Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

Q: Start with p =-1.5 and p, =-1.52 and use the secant method to find the root p=-1521of the polynomial…

A: p0 = -1.5 p1 = -1.52 f(x) = x3 - x + 2

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 3x +7x +147x…

A: givenf(x)=3x3+7x2+147x+343a.(3x3+7x2)+(147x+343)=0x2(3x+7)+72(3x+7)=0

Q: Consider the polynomial h with h'(x) = (x – 5)³(x– 3)². %3D Use the definition of an inflection…

A: we know that a point of inflection is found where the graph of a function changes concavity. To find…

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: Find the roots of the polynomial: f(x) = xª + 5x² – 36.

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Q: For the polynomial below, 3 is a zero. h(x)=Dx' +2x 9x 18 Express h (x) as a product of linear…

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Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: 2. Which polynomial function would have the end behaviour of as, x → Ax) = 7x - 8x* - 2x +x + 3x - 2…

A: topic - polynomials The end behavior of a polynomial function is the behavior of the graph of…

Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 8)²(x – 8)(x + 5)³. (a) What is the remainder…

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Q: Find the critical points, A and B, of the following polynomial (with A < B). f(x) = 2x³ + 3x² 336х —…

A: Given polynomial function

Q: Find the zeroes of the polynomial f(u) =4u2+8u,and verify the relationship between the zeroes and…

A: Solution: The objective is to find the zeroes of the given polynomial

Q: find the zeros of the polynomial f(x) =x3 -5x2 +16x+80,if it's two zeros are equal in magnitude but…

A: Given,           The polynomial is fx=x3-5x2-16x+80.

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) as a simplified polynomial?

A: The given function is: f(x)=2+6x

Q: Use synthetic division to find f (c) .

A: given,         fx=8x5-3x2+7                  and c=1/2

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: Given that 5x - 2is a factor of polynomial functions f(x) kx- bx + 2k, %3D determine the ratio k: b…

A: Given that 5x-2 is a factor of polynomial functions f(x)=kx2-bx+2k.

Q: Determine the 3rd degree polynomial which passes through the following points: 3 1 1 7 y 25

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Q: h(x) = x³ + 5x² - 4x-20 %D

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Q: Find the critical points, A and B, of the following polynomial (with A<B) f(x) = 6x3 - 45x2 - 432x…

A: A = -3.04 B = 8.04

Q: Determine the polynomial y(x) that has roots at x= -0.7, x=0.5, x = 3.4, and x = 5.8. Make a plot of…

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Polynomials

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