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Answer :
Final answer:
To find the other two roots of the equation [tex]6x^3 - 19x^2[/tex], use synthetic division to find a root and then factorize the equation.
Explanation:
To find the other two roots of the equation[tex]6x^3 - 19x^2[/tex]0, we can use synthetic division. First, we need to find one root by testing different values for x. Let's start with x = 1 and perform synthetic division to find the quotient and remainder. Since the remainder is 0, it means that x - 1 is a factor of the equation. Now, we can divide the quotient obtained from the first synthetic division by x - 1 to find the quadratic factor. Once we have the quadratic factor, we can use the quadratic formula to find the other two roots.
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