Respuesta :
Sum of standard form polynomials means adding the terms of same variable. The sum of the given polynomial in standard form is,
[tex]-x^2+2x-3[/tex]
What is polynomial equation?
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
In the polynomial equation the the terms are added or subtracted from each other only when the power of the variable is same.
Given information-
The first polynomial equations given in the problem is,
[tex](x^2 - 3x)[/tex]
The second polynomial equations given in the problem is,
[tex](-2x^2+ 5x - 3).[/tex]
To find the sum of these two polynomials, add the two terms together as,
[tex](x^2 - 3x)+(-2x^2+ 5x - 3)[/tex]
Let the result of the sum is [tex]f(x)[/tex]. Thus,
[tex]f(x)=(x^2 - 3x)+(-2x^2+ 5x - 3)\\f(x)=x^2-3x-2x^2+5x-3[/tex]
Separate the similar power variable as,
[tex]f(x)=(x^2-2x^2)+(-3x+5x)-3\\f(x)=-x^2+2x-3[/tex]
Thus the sum of the given polynomial in standard form is,
[tex]-x^2+2x-3[/tex]
Learn more about the polynomial equation here;
https://brainly.com/question/2833285
