Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of 2,negative squaroot of 2

Q: An nth degree polynomial will have at most n+1 real roots. O True O False

A: No, that is not possible. The only reason that an n-degree polynomial has max n roots is that it can…

Q: Find a root of an equation f(x)=2x3-2x-5 using False Position method (regula falsi method).

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Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x - 9 has two real zeros, one in [-1,…

A: Bisection method: This method is also called the interval halving method and it is used to find the…

Q: If a + bi is a root of a polynomial equation with real coefficients, b + 0, then. equation. is also…

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Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

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Q: Give a polynomial equation with integral coefficients that has the following roots. 3, -1, 1

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Q: Find a polynomial function of degree 4 with -3 as a zero of multiplicity 3 and 0 as a zero of…

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Q: Form a polynomial equation with integral coefficients whose only roots are given -4/3,2i,-2i

A: Since, -4/3, 2i, -2i are the only roots of the required polynomial equation, so (x+4/3), (x-2i) and…

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -1,…

A: Given: Find a polynomial of the specified degree that satisfies the given conditions.Degree 4; zeros…

Q: Roots of 1, 2, -4 y-in

A: Polynomial: We need to find a polynomial whose degree is even. Roots are 1,2,-4 y=intercept is -36…

Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

A: f(x)= 4*exp(-x/2)-3*ln(x)-3

Q: Every polynomial equation of the nth degree has n real roots Select one: True False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the real root of f(x)= 4x^2 - 10x + 4.  Iterate until the estimated error falls equal or…

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Q: Give one example of a polynomial of degree 4 that has a zero at x=5 with multiplicity 2 (there is…

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Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

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Q: Show that a polynomial of degree 3 has at most threereal roots

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Every polynomial equation of the nth degree has n real roots Select one: O True O False

A: Given :   Every polynomial of degree of nth degree has two types of roots : Real and Non-real /…

Q: Form the polynomial equation with integral coefficients whose only roots are given. 3,4,2

A: if a is the root of the polynomial then (x-a) will be the factor of the polynomial  And we can write…

Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x – 9 has two real zeros, one in [-1,…

A: Iteration formula for secant method is:  xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: Use Newton-Raphson method to find the required root. Find the largest root of x* – 4x³ + x² + 1.2 =…

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Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

A: Given: Let us determine the polynomial equation of the least possible degree with integral…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: The fourth-degree polynomial f (x) = 230x4 + 18x³ + 9x² – 221x 9. - - has two real zeros, one in…

A: The given polynomial is - f(x)=230x4+18x3+9x2-221x-9 It is also given that the given function has…

Q: Separate the real roots of polynomials by Sturm's method x4-2x3+x2-2x+1

A: Sturm's method.

Q: Find a root of an equation f(x) = x³ – x – 1 using False position method and bisection method.

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Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. + 0…

A: topic- polynomials

Q: Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There is…

A: Given: The given degree for the polynomial is 4. the given zero of the polynomial is x=5.…

Q: Use Müller's method to find the roots of f(x) = x³ + 3.5x² – 40 with x2=1 and 8 = 0.01, and ɛ, =…

A: Let f(x)=x3+3.5x2-40Here x 0 1 2 3 f(x) -40 -35.5 -18 18.5 x0=2x1=3x2=2.51st iteration…

Q: り -3,-4,5 5.) 2 3 -2,3 3 (6.) - 1 -s.-1 ー9 し 一2

A: When all coefficients of a polynomial are integers, the polynomial is referred to as a polynomial…

Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³ – 3x + 1 Using a…

A: To determine the roots using Regular Falsi Method.

Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

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Q: does there exist a polynomial of degree 3 with real coefficients that has zeros 1, -1, and i?

A: Consider the given roots. 1,-1, i and -i for complex roots. Now, make the polynomial.…

Q: Give one example of a polynomial of degree 3 that has a zero -6 with multiplicity 2

A: Consider the polynomial of degree 3, fx=x3+11x2+24x-36 At x=-6,…

Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)

A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity  2). A…

Q: Does there exist a polynomial of degree 4 with real coefficients that has zeros i, 2i, 3i and 4i?…

A: Given statement : Does there exist a polynomial of degree 4 with real coefficients that has zeros i,…

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

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Q: Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

A: Let P(x) be the polynomial whose roots are X1 = ½ , X2 = -2/3 & X3 = 1/3

Q: how do I Write a polynomial function of least degree with integral coefficients that has the given…

A: If k is a zero  of the  polynomial p(x)  then (x - k) is a factor of  p(x)

Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: Find all the roots of =-V3+j %3D |

A: In this question, the concept of De Moivre's Formula is applied. All n-th roots of a complex number…

Q: Find the 0/root for the could rake equations below by any method

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Q: What is the polynomial function in standard form with a root of multiplicity 1 at x= 3, and a root…

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Q: Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the…

A: Zeros of a polynomial: Let the other zero be kThen the equation of the polynomial…

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros: 1)…

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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.