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

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Answer 1 · 2017-03-27T15:52:25

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

Performing a multiplication,

$p(x) = 5*2x^2 -4*5x -5*2x +5*4$
$implies p(x) = 10x^2 + x(-20 - 10) + 20$

Thus, we get,

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

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