Write in Standard Form (3x^2+11x+4)+(-5x+x^2-13)

$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Add $3 x^{2}$ and $x^{2}$ .

$4 x^{2} + 11 x + 4 - 5 x - 13$

Subtract $5 x$ from $11 x$ .

$4 x^{2} + 6 x + 4 - 13$

Subtract $13$ from $4$ .

$4 x^{2} + 6 x - 9$