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Find the roots of the polynomial $\left(5x^2-2x+3\right)x^3\left(x-1\right)^2$ by putting it in the form of an equation and then set it equal to zero
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$\left(5x^2-2x+3\right)x^3\left(x-1\right)^2=0$
Learn how to solve equations problems step by step online. Find the roots of (5x^2-2x+3)x^3(x-1)^2. Find the roots of the polynomial \left(5x^2-2x+3\right)x^3\left(x-1\right)^2 by putting it in the form of an equation and then set it equal to zero. Break the equation in 3 factors and set each equal to zero, to obtain. Solve the equation (1). To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=5, b=-2 and c=3. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.