Question

what is the sum of the given polynomials in standard form?
$(x^2 - 3x) + (-2x^2 + 5x - 3)$
\\(\circ\\) $-3x^2 + 8x - 3$
\\(\circ\\) $-x^2 - 2x - 3$
\\(\circ\\) $3x^2 - 8x + 3$
\\(\circ\\) $-x^2 + 2x - 3$

Explanation:

Step1: Remove parentheses

$x^2 - 3x - 2x^2 + 5x - 3$

Step2: Combine like $x^2$ terms

$x^2 - 2x^2 = -x^2$

Step3: Combine like $x$ terms

$-3x + 5x = 2x$

Step4: Keep constant term

$-3$

Step5: Assemble standard form

$-x^2 + 2x - 3$

Answer:

$-x^2 + 2x - 3$ (the last option)