Question

How to factor -2(x^3 - 7x^2 + 12x -10)? Please show me the work step by step

Answer 1

`\begin{gathered} -2(x^3-7x^2+12x-10) \\ By\text{ trying the factors of -10, (x-5) is a factor of the polynomia} \end{gathered}`
`\text{use long division method to get the other factors}`
`\begin{gathered} \text{ Dividing }x^3-7x^2+12x-10^{}\text{ by (x-5)} \\ \text{ we have x}^2-2x+2 \\ \end{gathered}`

The expression then becomes

`\begin{gathered} -2(x-5)(x^2-2x+2) \\ \\ (x^2-2x+2)\text{ cannot be factorized further} \\ \\ \text{The answer is -2(x-5)(x}^2-2x+2) \end{gathered}`