Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 2) x4 + 5x3 - 4x² – 16x – 8 =0

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: Given: 2x3 - 5x2 - 6x + 4 = 0. Solve, a. List all possible rational roots. b. Use synthetic division…

A: Given: 2x3 - 5x2 - 6x + 4 = 0. To Solve: a. List all possible rational roots. b. Use synthetic…

Q: Use a graphing calculator to find all rational real roots of (x) = 2x* – 7x3 + 21x2 - 63x + 27. Then…

A: We have to find the roots of the function f(x)=2x4-7x3+21x2-63x+27.

Q: show that the equation x³+x²-3=0 has no rational roots, but that it does have an irrational root…

A: i used rational zeros theorem for proving it has no rational root

Q: ctions: Find the roots of each quadratic equation using any method. n) Roots . x² -16 = 0 . 2x? - 98…

A: As per Bartleby gauidline we solve first 3 parts.

Q: Solve using the method of indeterminate coefficients. q''−4q'−21q=5e-3t

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Q: Given, f(x) = 6x3 + x2 - 4x + 1. Solve,  a. List all possible rational roots or rational zeros. b.…

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

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: Use the guadratic formula to solve for x. 4x-8x= 1 Round your answer to the nearest hundredth. If…

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Q: 49 Find a quadratic equation with integer coefficients whose roots are the reciprocals of 4x2 - 23x…

A: We have to find a quadratic equation whose roots are reciprocal to roots of given equation- given…

Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Find the rational roots of equation x³+3x²-14x+8

A: Given equation is: x3+3x2-14x+8=0 We have to find the rational root of the above equation.

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: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: A Find the complete set of possible rational roots of the following polynomial equations. 154 2.…

A: To complete the set of possible rational roots.

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

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

A: The arc subtends a central angle of 45 degrees in a circle having radius 10 m. If s be the length of…

Q: Given, 2x3 + 9x2 - 7x + 1 = 0 Solve, a. List all possible rational roots or rational zeros. b. Use…

A: Given, The equation is 2x3 + 9x2 - 7x + 1 = 0

Q: Given, 8x3 - 36x2 + 46x - 15 = 0. Solve,  a. List all possible rational roots or rational zeros. b.…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: solve using the zero factor property 45-t2=0

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Q: Find the roots of 4x2+3x+5=0  by the method of completing the square

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Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

Q: using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: x4 - 10x² +9

A: We will solve the given equation by using the factor method.Below find the solution in the image.

Q: o Interpolate the cubic and solve using the Vandermonde method. (-2, 11) (-1, 2) (1, 2) (2, -1)…

A: Where we have to use the vendor normed

Q: Given: x3 - 5x2 + 17x - 13 = 0. Solve, a. List all possible rational roots. b. Use synthetic…

A: x3-5x2+17x-13=0 a). Here the constant term is -13 & leading term is 1. The factors of constant…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

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Q: a) List all possible rational roots.,b) Use synthetic division to test the possible rational roots…

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Q: When factoring to reveal the roots of the equation + 212 – 9x – 18 = 0, which equations can be used?…

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Q: Given: x3 - 2x2 - 11x + 12 = 0. Solve,  a. List all possible rational roots. b. Use synthetic…

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Q: Find all solutions for x in [0,2pi) 3cosx+4sinxcosx=0 (How do you factor this. . . lol)

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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: Find the quotient and remainder. Solve using polynomial long division. x^3+8x^2-77 / x+6

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Q: What are all the possible rational roots of 2x³ + 3x² – 10x +4=0? 글 only A B +1, ±2 only +1, ± 2, ±…

A: Possible ration rational of any polynomial are ±Factors of constant termleading coeficient Therefore…

Q: use the sintetic divicion to show that x is a solution of the third-degree polynomial equation , and…

A: List of all Solution are

Q: 2.) × 1+2xー13x2- 14xt2イ=0

A: To find  The complete set of possible rational roots.

Q: Given: x3 - 2x2 - 7x - 4 = 0. Solve, a. List all possible rational roots. b. Use synthetic division…

A: Given x3-2x2-7x-4=0

Q: Solve this rational equation below: 15 3 = 2х-3 %3D

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Q: 3. If x=-2 is one of the roots of 6x'+11x - 4x -4 = 0, find the other two roots of the polynomial…

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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: One or more solutions of a polynomial equation are given. Use synthetic division to find any…

A: Given equation is Since x=3 is solution of given equation , therefore dividing the equation by x-3…

Q: Solve for all values of x by factoring. x2 + 4x + 5 = -6x + 5 %3D

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Q: 6. in

A: We solve the problem by just calculating the equation that given.

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: If f(x) = x4 + 2x3-5x2-x+6, P what would be the list of possible rational roots? Arrange your list…

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Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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Q: To find the possible roots of the polynomial 4x3 + x4 - 7x² - 8x - 8

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Q: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

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Q: a) List all possible rational roots.,b) Use synthetic division to test the possible rational roots…

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