Respuesta :

We have the following quadratic expression,

[tex]2x^2-13x+15[/tex]

we can rewrite this expression as follows:

[tex]2(x^2-\frac{13}{2}+\frac{15}{2})[/tex]

The terms into the parenthesis can be written as

[tex]x^2-\frac{13}{2}+\frac{15}{2}=(x-5)(x-\frac{3}{2})[/tex]

Therefore, the answer is

[tex]2x^2-13x+15=2(x-5)(x-\frac{3}{2})[/tex]

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