What is the standard form of a polynomial $(3^2 - 5x) - (x^2+4x +3)$ ?

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Answer 1 · 2017-05-30T23:35:04

$-x^2-9x+6$

$(3^2-5x)-(x^2+4x+3)$

First, let's deal with the exponent:

$(9-5x)-(x^2+4x+3)$

Now let's distribute the negative in front of the second component:

$(9-5x)+(-x^2-4x-3)$

We no longer need the parantheses, so let's combine like terms:

$color(orange)(9)color(blue)(-5x)+color(red)(-x^2)color(blue)(-4x)color(orange)(-3)$

$-x^2-9x+6$

What is the standard form of a polynomial (3^2 - 5x) - (x^2+4x +3)(3^2 - 5x) - (x^2+4x +3)?