Use the given imaginary ZERO of the polynomial function to find the remain f (x) a 4x 18x-292x +7565 . %3D || Imaginary ZERO: x = 8 – 5i Section 3.3 O a = -8+ 5% a = -5±6i O a = 8+5i 2=-6土7元 Oa = -7+6i Or= 8+5i 2=-5土6i Ox=8+5i 2=-7士6i

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

A:

Q: 29. Write a third-degree polynomial f(x) with integer coefficients and zeros of i, -3, and 3.

A: Given  zeros of a third degree polynomial 14,−12 and 3

Q: (d) -2,1 (e) 1-i,1+i (f) 0,2,–3

A:

Q: f is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are…

A: f is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are…

Q: VII. Write a polynomial f(x) that meets the given conditions. 11.) Degree 3 polynomial with zeros…

A: We have to find the function of polynomial which meets the given conditions.

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: We will solve this problem using the fact that if 3 is a root of a polynomial, then it is divisible…

Q: Write a polynomial f(x) of degree 3 given zeros --6 and 2i. O f(z) = 2 + 6a? + 4x + 24 f(x) = 2 -…

A: finin x1=−6 & x2=2i areroots of a polynomial f(x)forof degree 3.

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

A: Since the zeros of the polynomial are -1, 2, 3, therefore the factors of fx are, x+1,  x-2  &…

Q: The general polynomial of degree n has the form P(x) = an xn + an-1 xn-1 + ........ + a2 x2 + a1 x +…

A: Consider the general form polynomial of degree n which is shown below,

Q: Use the given real ZERO of the polynomial function to find the remaining real ZEROS. f (x)= 380x² +…

A:

Q: Give an expression for f(x) with leading coefficient –5, of degree 3, and having roots ¤ : -4 , x =…

A: from the given data: i^2= -1 Substituting in the required place and finding the polynomial

Q: The general polynomial of degree n has the formP(x) = an xn + an-1 xn-1 + g + a2 x2 + a1 x + a0where…

A: Consider the general form polynomial of degree n P(x)=anxn+an-1xn-1+....+a2x2+a1x+a0

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Find the second-degree Taylor polynomial for f(x) = 3x? – 4x + 2 about a = 0. %3D P2(x) = %3D What…

A:

Q: Use the given imaginary ZERO of the polynomial function to find the remaining ZEROS. f (x) = 4 .73…

A:

Q: Find a monic, irreducible polynomial + a6 X6 + a5 X$ + a4X4 + a3X³ + azX² + ajX' + ao E Q[ X] ...…

A:

Q: Use the given imaginary ZERO of the polynomial function to find the remaining ZEROS. f(z) = r – 10z³…

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3, and…

A: Let Q (x) be a polynomial that has degree 3, and zeros 0 and i. We know that if a+ib is zero of a…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: Given:Q is a polynomial of degree3roots :-9,1+i

Q: Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The…

A: I am solving part7 & part8 as you mentioned.

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of each (a) (r…

A:

Q: Find the Maclaurin polynomial of the ninth degree for the function h(x) = ln(1+x3)

A:

Q: 7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? – 221x -9 has two real zeros, one in [-1,0]…

A: As per the guideline, I am doing the 1st method only. Kindly repost the others separately.   Secant…

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

A:

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: To find a polynomial f(x) with degree 4. Given zeroes : 8,-1 (multiplicity 2) ,0 Here, multiplicity…

Q: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of -…

A: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of…

Q: Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x)…

A: The aim is to find the polynomial function px with integer coefficients and leading coefficient as…

Q: Verify that the Legendre polynomial Pn(x) satisfiesthe second-order equation(1 − x2)y'' − 2xy' + n(n…

A:

Q: The coefficient of the r term in the Maclaurin polynomial for sin(2x) is (A) 0 (B) 0.0083333 (C)…

A:

Q: Give an expression for f(x) of degree 3 with roots a =1 , x = 5 + 3i, and a = 5 – 3i. • Your final…

A:

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of each (d)…

A: To find the zero with its multiplicityd) x+52x-4x+1e) x+53x-4x+1f) xx-1x+1

Q: Form the polynomial function that has the following real ZEROS: 3,-1, 2, 4 Section 3.1 O z4 + 2z3 -…

A: Given point is; x = -3,-1,2,4   1) x4+2x3-14x2-13x+24  we find the factor of this function and then…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 5; zeros:…

A: We know that whenever a complex number is a zero of a polynomial with real coefficients, its complex…

Q: What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1…

A: Taylor series of a function f(x) about x=a is defined as:…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Here we need to find the polynomial R of degree 4, R has degree 4 and zeros at (4-2i) and 2 with…

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

A:

Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

A:

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A: To find the polynomial

Q: Find the polynomial of degree 3 with leading coefficient -2 and zeros at 2, 4, and -3. a) O-2- 10²…

A: The polynomial will bekx-αx-βx-γwhere 'k' is leading coefficient α,β,γ are zerossubstitute…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

A:

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=3,…

A: Since ,n=3,we have to find third degree polynomial , Since -5 is its zero ,so, x+5 is its factorAs…

Q: Which function is a polynomial with roots x = 3, x = – 4, x = 1 ? A f(x) = (x + 3)(x +4)(x+ 1) f(x)…

A:

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2, 1, 5.…

A:

Q: Find an upper bound for the difference at x = 0.20 and x = 0.80 between f (x) = e* and the…

A: Given, f(x)=e-xx=0.20 and x=0.80 The polynomial that interpolates it at the points are…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Answer

Q: Which of the following can be an equation of a polynomial with a r multiplicity 2 at x = -3 and a…

A:

Q: The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, +…

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: Given Q(x) has degree 3.

Q: #37

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.