Write the polynomial equation in standard form with given the roots. 1.) 1 multiplicity of 2, —3 multiplicity of 2

Q: A polynomial equation with rational coefficients has the roots 7+ V2 and 4 V2. Find two additional…

A: We have to find the other two roots of the polynomial function.

Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: State the number of solutions for the polynomial. f (2) = 26 - a4- 25x? +24

A: The polynomial is given by f(x) = x6-x4-25x2+24 To evaluate : The number of solutions for the…

Q: Use the given information about the polynomial graph to write the equation. Degree 5. Roots of…

A: In this question, we need to find the polynomial equation using the information given about…

Q: How many inflection points can a: (a) quadratic polynomial have? (b) cubic polynomial have? (c)…

A: fx be a qudratic polynomial .⇒f''x=constant xtherefore a quadratic polynomial never has any…

Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

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Q: Determine all the roots the following polynomial 24 – 2z3 + 10z² – 18z + 9 if one of the root is -j3

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Q: 7.4x+4x3-2Sx2 -x+ 6 0 XI =-3

A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

Q: Find the formula, in standard form y=ax2+bx+cy=ax2+bx+c, for a quadratic that has roots at x = -3…

A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

Q: Whatis the value of r in the quadratic equation x? – 10x –r= 0 whose roots are equal rational and…

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Q: Find all real solutions of the polynomial equation x* - 7x + 42x - 36 = 0. х%3D 1,-36, 12 х%3D 1,-7,…

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Q: 3. Use Graeffe's Root Squaring Method to de the real roots of the polynomial equation х3 + За? — 6х…

A: GRAEFFE'S ROOT SQUARING METHOD:   The roots of any polynomial equation with real coefficients can be…

Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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Q: -) What is the nature of the roots for y 2x - 5? Use the disc to determine the nature of the roots.

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Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: )) What is the quadratic polynomial in standard form Given x = and -2 1 %3D Change roots into…

A: Please refer to the image below

Q: 4) a) Show that the equation y = x³ + 3x2 + 16 has exactly one real root. What is it

A: To show That the equation y=x^3+3x^2+16 has exactly one real root.

Q: Determine the maximum number of real roots and possible real roots of the following polynomial…

A: We know that, a polynomial equation of degree n has maximum n roots.  If a+ib is a root of a…

Q: One of the roots of the polynomial equation 2 x 3 + 9 x 2 – 33 x + 14 = 0 is 2. Find the other…

A: The detailed solution is given below Thank you

Q: B. Find a polynomial equation with integer coefficients that has the following roots. 1, -2, -5 1.…

A: Given that:                         1. 1, -2, -52. ±1, 23. ±2, ±3

Q: Determine the factored form: x + 3x? - 4 with potential rational zeros of: -4, -2, -1, 1, 2, 4…

A: Factor x^3+3x^2−4 x^3+3x^2−4 =(x−1)(x^2+4x+4) = (x−1)(x+2)(x+2)

Q: 5 – 4 Given P(x) and that 3i is a zero, write P in factored form (as a 3x x* + 19x* 13x? — 72х — 36,…

A: A function of the form p(x)=anxn+an-1xn-1+⋯+a1x+a0, where, an≠0, a1,a2,...,an∈ℝ and n∈ℕ∪0 is said to…

Q: If x = -1 is a root of the polynomial 0 = æ + 2x2 6. what are the other roots? æ = -3, x = 2 æ = -1,…

A: Given  x3 + 2x2 - 5x - 6=0  since one root of the given polynomial is x=1  Therefore (x+1) is a…

Q: Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 that…

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Q: 13. What are the roots of the polynomial equation: x3 + 6x2 + 3x – 10 = 0? A. 1, 2 and 5 B. 1, -2…

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

Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

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Q: Given the polynomial y = 10x³ – 27x? + 15x – 2, a. list all possible numerators for rational roots…

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Q: 12:44 ll 11) What is the quadratic polynomial in standard form Given x = 2,3,-4 Change roots into…

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Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: Develop a C program that computes the different roots in a quadratic equation, ax + bX²=0. r = -b ±…

A: we need to compile a C program in order to find the roots of a quadratic equation

Q: Given the polynomial expression kz5- 2z4+ 3z3+ 5z2- 3z - 8, if k is a negative integer, how many…

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Q: 4dx 3) S- 3x 5, -

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Q: 1. Use what you have learned to solve the following polynomial equation by either completing the…

A: To solve given polynomial equation: Here, By using the quadratic formula, ax2+bx+c=0 x = -b…

Q: This equation is about solving polynomial equations. In which find the correct zero for…

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Q: What are the roots of the polynomial y = x³ – 8? O r = 2, a = -1±iv? O ¤ = 2, x = ±1 O ¤ = 2, x = ±i…

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Q: - (b) Without extracting the roots, determine which one is greater, VII-5 or, 19 – /13.

A: Solution

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: Describe the number and type of roots for the polynomial (number of real and complex).  x3 + 2x2 –…

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

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Q: 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x +…

A: As per bartleby guidelines we only give first question answers.

Q: what is the factored form of ax^2+bx+c where the roots are x1 and x2?

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Q: 7.) What is the nature of the roots for y = 2x – 5? Use the discriminant to determine the nature of…

A: Given:- y = 2x2-5 To find :- Use discriminant determine the nature of roots

Q: 19. What is the largest value of the quadratic form 5(x,)? - 3(x2)² if x²x = 1. 20. What is the…

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Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: 1. Find the length of an arc that subtends a central angle of 45° in a circle of radius 10 m? 2.…

A: Given: Central angle = 45o Radius = 10 m

Q: 3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3…

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Q: Whatis the value of r in the quadratic equation x² – 10x – r = 0 whose roots are equal rational and…

A: .

Q: One of the roots of the polynomial equation 2x^3 + 9x^2 - 33x + 14 = 0 is 2. Find the other roots. *…

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Q: Given: P(x) = 2x - 3x- x + 3x – 1 How many roots does the polynomial 10 above have? What are all the…

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Q: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…