Find a polynomial equation of the least possible degree with integral coefficients whose roots are the following

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: 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…

A:

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

A:

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: Give an expression for f(x) of degree 3 with roots z = -4 and r = -2, where the root at r = -2 has…

A: Zeroes are x=-4 and x=-2and x=-2 has multiplicity 2

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: must every polynomial equation with real coefficients of degree 3 have at least one real root? Why

A: Recall: Fundamental theorem of Algebra: Any polynomial of degree n with real coefficient has n…

Q: Find the equation of the polynomial with roots (–√3, 0) and (7i, 0), real coefficients, and passing…

A: Step I :   Given :   Roots : -3 , 0 & 7i , 0and passing through the point 1 , 200Find the…

Q: Degree: 4 ; Roots: x=0, x=i

A:

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

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

A: see 2nd step.

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

A: Follow the procedure given below.

Q: Every polynomial function of odd degree with real coefficients will have at least…

A: To determineEvery polynomial function of odd degree with real coefficients willhave atleast

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: Find a fourth-degree polynomial with integer coefficients that has zeros 5i and –1, with -1 a zero…

A: Given: A fourth degree polynomial has zeros 5i and -1 , with -1 a zero of multiplicity 2.

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: 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: Find a polynomial of least degree with only real coefficients and having the given zeros. (2+i,0)…

A: Let f(x) be the polynomial of least degree having zeros 2+i and 3.Since the complex number 2+i is a…

Q: Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of…

A: To find the polynomial for given roots Roots are 1/2, √2 and - √2

Q: Find a polynomial of degree 4 that has a real coefficient and has 3,2 and 2+i as some of its roots

A:

Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

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: 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: 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: Find a fourth-degree polynomial with integer coefficients that has zeros 6i and −1, with −1 a zero…

A: Since -1 is zero of polynomial with multiplicity 2, so we count -1 twice. Also complex zeros always…

Q: Give a polynomial equation with integral coefficients that has the following roots. 0, -3, -1, 2

A: This question is related to polynomials, we will solve it using given information.

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

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: find a degree 3 polynomial having zeros 7, -3, and -8 and leading coefficient equal to 1.

A:

Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

A:

Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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: Find a polynomial of least degree with only real coefficients and having the given zeros. 2 + i, 3

A: Given

Q: show that the polynomial below has a root between 0 and 1.

A: Given f(x)=2x3-11x2+18x-6 to find the root of the polynomial which lies between 0 and 1

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

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Q: polynomial

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Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

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

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

A: We can solve the problem by just multiply the factor of the polynomial.

Q: Which is the cubic polynomial in standard form with roots 3, -6, and 0?

A: