Answer: [tex]f(x)=2(x-1)(x-4)[/tex]
Step-by-step explanation:
1. You can write the quadratic equation as following:
[tex]f(x)=2x^{2}-10x+8[/tex]
2. Factor out 2. Then:
[tex]f(x)=2(x^{2}-5x+4)[/tex]
3. Now, you must find two number that when you add them you obtain -5 and when you multiply them you obtain 4. These would be -1 and -4.
3. Therefore, you can write the function in the following intercept form:
[tex]f(x)=2(x-1)(x-4)[/tex]
