Use the table to determine a solution of Y, = 6x° - 17x² + 11x– 2 the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation. - 3 - 2 -350 -140 -1 - 36 6x - 17x2 + 11x-2=0 1 -2 2 0. 3 40 Which solution of the equation can be determined from the table? The solution is What are the other solutions of the equation? The set of the other solutions is { } (Use a comma to separate answers as needed.)

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: 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: c. Find the exact solutions by using the Quadratic Formula. 15. - 12x2 + 5x +2 = 0 17. 9x2 - 6x - 4…

A: given the quadratic equation we need to find the exact equation we need to find the exact solutions…

Q: Solve using the zero-factor property: (a) r² – 5x + 6 = 0 (b) –4z² + z = -3

A: Part a,Given,           x2-5x+6=0

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 discrimlnant to determine the number of real solutions for the quadratic equation. x2+12x…

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Q: " one root of the quadratic equation kx² - 6x + (2k – 3) = 0 is the reciprocal of the other root,…

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Q: Solve the polynomial equation 2x4 + x3 - 17x2 - 4x + 6 = 0.

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Q: If -5 is a root of the quadratic equation 2x^2 +px-15=0o and the quadratic equation P(x^2 +x)+K=0…

A: GIVEN: 2x2 + px - 15 = 0              Root of this equation is -5

Q: Find all real solutions of the equation. x2 + 24x + 144 = 0

A: We have to find the all real solutions of the equation: x2+24x+144=0 Solving the equation by…

Q: One of the roots of the equation 3x2 + bx = 21 is 7/3.

A: Given, 3x2+bx=21 or 3x2+bx-21=0    ----(i) one root is 7/3 Find b and Other root

Q: Find all real solutions of the equation by factoring. (Enter your answers as a comma-separated…

A: Find all real solutions of the equation by factoring. (Enter your answers as a comma-separated…

Q: Solve the equation m2 – 4m – 77 = 0 by factoring. m = If there is more than 1 solution, separate the…

A: We have m^2 - 4m - 77 = 0 Using Factorization method [ Rough calculation :-      77 =  11 × 7   and…

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: Use the discriminant to determine the number of real solutions for the quadratic equation. 3x2-4x…

A: Quadratic equation

Q: -5x2+8x-4=0 compute the value of the discrimiant and give the number of real solutions of the…

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Q: Solve the polynomial equation by factoring and check the solutions graphically. x4-9x3+14x² = 0…

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Q: Solve the equation m² + 16m + 60 = 0 by factoring. m = If there is more than 1 solution, separate…

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Q: Find the value of p so that the quadratic equation px (x-3) + 9=0 has two equal roots

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Q: The roots of the equation x - 6x – 2 = 0 are A 3± VII © 3±v7 6 -3±VI] O -3± v7

A: We have to find the roots of the equation x2-6x-2=0.

Q: -3x2+4x+5=2x Determine if x=-1 is the solution to this equation?

A: Calculation:The given equation is –x2+4x+5 = 2x.Substitute the value x = –1 in the above equation…

Q: ). A polynomial equation whose roots are {-1, 1 and 7} is A. x - 7x2 -x-7 =0 B. x + 7x? – x -7=0 C.…

A: Given: To find a polynomial equation whose roots are {-1, 1 and 7}

Q: Solve x^2-11x=-30 by factoring. Select the solutions given in the photo shown. (Show work)

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Q: Write a polynomial equation with integer coefficients that has the given roots. y = 7, y = -2

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Q: Find the value of k so that the quadratic equation 4x2 + kx + 25 = 0 has equal roots. Select one: О…

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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: 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: B) Find the roots of the equation x2 + 8x + 15 0.

A: Given x^2+8x+15=0

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

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Q: x = 5 is a solution to the equation x^(3)-4x^(2)-2x -15 = 0 Find the other solutions with the help…

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Q: Solve for x by factoring. Must show all work  a) 3x2-12x=0 b) x2+4=-4x c) 3x2-x-10=0

A: (a) We have, ⇒3x2-12x=0⇒3x(x-4)=0         (taking 3x common)∴ 3x=0     and    x-4=0⇒x=0      and…

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

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Q: Solve by completing the square. x -7x-1=0 Choose the appropriate process for rearranging the…

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Q: 4- Given the equation 4x2 + 8x + 4 = 0 a) find the discriminant b2 – 4ac - b) How many distinct real…

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Q: se factoring to solve the polynomial equation: (x - 2)(x + 4) = 7 3,-5

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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: Factor this: p(x) = x^3-6x^2+12x-8 and refer the solution to the attached image

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Q: 4x* +12x +17x² +10x+2=0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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 the polynomial equation : (2x + 1)(3x - 2)3(2x - 7) = 0

A: We have to solve the given polynomial equation   (2x + 1)(3x - 2)3(2x - 7) = 0   we can…

Q: solve the polynomial equations byusing the root method, and check the solutions graphically.

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

Q: Solve the polynomial equations by factoring methods a) (4x-9)(x+ 5)(x - 5) 0 b) x4 – 14x³ + 45x? = 0…

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Q: Find all the solutions of the quadratic 3x² + (3a - b)x - ab = 0. Find x1 and x2 A=-2/7 B=-5/7

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Q: The roots for the equation 2x2 - 10x + 12 = 0 are Select one: a. ОБ. 6, 1 O. \(3\), \(2\) O d.…

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Q: Find the roots of the polynomial equation. x3- 2x2 + 10x + 136 =0 Select one: O a.-3 + 5 i, -4 O b.…

A: Given,  A polynomial of degree 3 : x3 -2x2 + 10x + 136= 0

Q: 13) Solve the polynomial equation and select the correct solutions: x-3x2- 5x =-15 a) 3, V5 b) 3,…

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Q: Find the value of k ,so that the equation 2x2+kx-5=0 and x4-3x-4=0 have one root in common

A: First we find out Root of given equation other than the equation which has value k Then we…