To find the solutions for the given equation, you can use the Rational Root Theorem or synthetic division to test different factors of 5 and 5, such as 1, -1, 5, -5.
Upon testing, we find that x = 1 is a solution. Therefore, (x-1) is a factor of the equation.
Performing polynomial division or synthetic division, we find the factorized form:
(x-1)(5x^4 - 7x^3 + 4x^2 - 12x + 5) = 0
Now, you can solve the quadratic equation 5x^4 - 7x^3 + 4x^2 - 12x + 5 = 0 using methods like factoring, completing the square, or the quadratic formula to find the remaining solutions.
To find the solutions for the given equation, you can use the Rational Root Theorem or synthetic division to test different factors of 5 and 5, such as 1, -1, 5, -5.
Upon testing, we find that x = 1 is a solution. Therefore, (x-1) is a factor of the equation.
Performing polynomial division or synthetic division, we find the factorized form:
(x-1)(5x^4 - 7x^3 + 4x^2 - 12x + 5) = 0
Now, you can solve the quadratic equation 5x^4 - 7x^3 + 4x^2 - 12x + 5 = 0 using methods like factoring, completing the square, or the quadratic formula to find the remaining solutions.