1. Find the quotient of x3 −5x2 −2x+ 24  by x−4, and then divide the quotient by x−3. What are the roots of x3−5x2−2x + 24=0?

Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: Directions: Write the quadratic equation in the form ar² + bx +c = 0 given the following roots. Show…

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Q: Use the quadratic formula to find the roots following quadratic: y = x² + 4x +5

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Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Solve the quadratic equation by completing the square. x² +11x-5=0 Choose the appropriate process…

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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: a. Factor f(x) = 4x - 20x + 33x - 18, given that 2 is a zero. b. Solve. 4x - 20x + 33x – 18 = 0

A: a) we have to factor fx=4x3-20x2+33x-18, given that 2 is a zero. b) we have to solve…

Q: For which values ​​of a does the equation 3x³-5x²-4x+a=0 have exactly x=3? Determine all real roots…

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: A. Characterize the roots of the following quadratic equations using the discriminant. 1. x² + 4x +…

A: As per the guidelines I am supposed to do the first three questions of a multipart question so I am…

Q: 4. a) 2k² = 7k b) 5x²-15x + 20 = 0 -

A: The given problem is to find the solutions for the given quadratic equations.

Q: If a and b are the roots of the quadratic equation (x - 2023)(x-2024) = 2025, then (2025-a) (2025-b)…

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Q: Suppose x = a, e are two solutions to the cubic equation x³ + px = q . Use Viete's approach to find…

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Q: value of its discriminant is positive and perfect square? * a. The roots are not real.. b. The roots…

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Q: Answer the following: 1. Characterize the roots of the following quadratic equations using the…

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Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 2. 4x?…

A: We know that a quadratic equation is written in the form of  ax2 + bx + c = 0. Here a is cofficient…

Q: 3. Solve for x: 2log,(x+ 2) = 20 4. Find the solution of the given quadratic equation: 3x? + 5x + 12…

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Q: If the roots of a quadratic equation: A x 2 + B x + C = 0 are x=5 and x=4/3, then what is the…

A: Consider the given quadratic equation: Ax2+Bx+C=0 Root of the above equation is x=5 and x=43 Here,…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.