Use a graphing calculator to find all rational real roots of (x) = 2x* – 7x3 + 21x2 - 63x + 27. Then find the remaining roots (they may be irrational or imaginary) by using division, and write the èquation as a product of linear and quadratic factors. How many roots do you expect to find? Roots:

Q: How many roots does the polynomial equation have? 0 = x2 (x + 3)* (x - 1) Enter your answer in the…

A: The given equation,0=x2x+34x-1

Q: x3 - 2x2 - 7x - 4 = 0 a. List all possible rational roots.b. Use synthetic division to test the…

A: Part a) The rational root theorem state a constraint on rational solutions of a polynomial equation…

Q: Given: x3 - 10x - 12 = 0. Solve, a. List all possible rational roots. b. Use synthetic division to…

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Q: Find algebraically, all roots (x-intercepts) of the equation f(x) 15x4 + 35x³ 20x You do not need to…

A: Here we have to find the roots of the equations.

Q: Find all rational roots of the equation. 147x-98x 2+ 27x - 18 = 0 3

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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: Use the quadratic formula to finc the roots of 3x² – 7x + 8 = 0 -

A: We have to use the quadratic formula to find the roots of the given equation. Quadratic formula is…

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: how did you find the root zeros

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Q: x4 - 10x2 + 9

A: To find roots, factorise it and put it equal to zero.

Q: Find all the rational zeros. Write the answer in exact form. 4 3. q (x) = 2x--5x + 2x +2

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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: Complete the quadratic polynomial by filling in the number that makes it a perfect-square. x² +18x+

A: x2+18x+__ Let __ =nx2+18x+nn=?

Q: Explain why the equation x + 6x? + 2 = 0 has no rational roots.

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Q: Find all rational roots of h(x). h(x) = 3x + 5x- 4x - 5x + 1 %3D Write your answer as a list of…

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Q: Find the roots of the factored polynomial. (x - 1)(x - 3)(x – 6) Write your answer as a list of…

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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: x3 - 2x2 - 11x + 12 = 0 a. List all possible rational roots.b. Use synthetic division to test the…

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

Q: Find the exact roots 6x¹-11x³+x²+33x-45=0

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Q: Find all real roots by using the quadratic formula. 22-3x=1

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Q: Зx+4 2 x2 3x2

A: Given equation is 3x+4x2=23x2 Cross multiply, we get: (3x+4)×3x2=2x2 Simplify equation by cancelling…

Q: Find a real root of the x3 + 2x2 + 10x − 20 = 0 by the Tartaglia-Cardano method. Remember that you…

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Q: Solve the following rational equation. Reject any extraneous roots. х-3 х* -7х+12 х-4

A: Topic-simplification

Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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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: x4 - 2x2 - 16x - 15 = 0 a. List all possible rational roots.b. Use synthetic division to test the…

A: Root of a polynomial: a) y(x)=x4-2x2-16x-15 The roots of the eqs are  x4-2x2-16x-15=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: Rind the roots of each quadratic equation using any method. Roots 4. 2x2-6 = 4x 5. x2 - 2x - 8 = 0

A: We have to find the roots of the given quadratic equations.

Q: Find the rational roots of x* + 8x + 7x-40x- 60= 0. 02,6 О-6, -2 O-2, 6 О-6, 2

A: Given  x4+8x3+7x2-40x-60=0 let, f(x)=x4+8x3+7x2-40x-60 Given that there is at least one and possibly…

Q: List all possible values that could be roots of the polynomial 4x*- 23x -41x² +59x-18 according to…

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Q: f(x) = x³ + 6x² – 13x – 6

A: Given that fx=x3+6x2-13x-6. To determine all the roots and factors of fx. For, consider…

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: 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: Find the roots: x3 = -2

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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: 4) S(7x-5+ 6vx – 3x*)9x²dx

A: The Answer is :    Result = 63 ln(x) - 3 x9 + (108/11)x(11/2) + C

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

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

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Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x -…

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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: (Gx7)

A: As per our guidelines, we are allowed to answer only one question. So, I am providing solution of…

Q: what is the roots of x2 _ 5x _ 2 =0 ?

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Q: Find the roots of the function x^2-6x-16 by factoring

A: Given: x^2-6x-16

Q: f(x)=x'+x² -4x- 2.

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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: Find the exact roots 1/4x² + 3/2 x³ + 1/2x²-9/2x-15/4-0

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Q: 2. f(x)3= x* -8x²-9.

A: Set the function equal to zero gives us the roots.

Q: Solve the Rational Equation  5x/8  -9 = x

A: Given the rational equation.