Question

What is the standard form

`f(x) = (2x - 1)(x - 5)`

Answer 1

The standard form:
`f(x)=ax^2+bx+c`

`f(x)=(2x-1)(x-5)\\\\\text{Use: (a + b)(c + d) = ac + ad + bc + bd}\\\\f(x)=2x\cdot x-2x\cdot5-1\cdot x-1\cdot(-5)\\\\=f(x)=2x^2-10x-x+5\\\\\boxed{f(x)=x^2-11x+5}`