# What is the standard form of a polynomial (5x - 5)(2x - 4)?

Mar 27, 2017

Let the expression be labelled as $p \left(x\right) = \left(5 x - 5\right) \left(2 x - 4\right)$

Performing a multiplication,

$p \left(x\right) = 5 \cdot 2 {x}^{2} - 4 \cdot 5 x - 5 \cdot 2 x + 5 \cdot 4$
$\implies p \left(x\right) = 10 {x}^{2} + x \left(- 20 - 10\right) + 20$

Thus, we get,

$p \left(x\right) = 10 {x}^{2} - 30 x + 20$ which is in the standard form of a two degree polynomial.