Question

What is the sum of the given polynomials in standard form? (x2 – 3x) (–2x2 5x – 3).

Answer 1

Sum of standard form polynomials means adding the terms of same variable. The sum of the given polynomial in standard form is,

$-x^2+2x-3$

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,

$(x^2 - 3x)$

The second polynomial equations given in the problem is,

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

To find the sum of these two polynomials, add the two terms together as,

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

Let the result of the sum is $f(x)$. Thus,

$f(x)=(x^2 - 3x)+(-2x^2+ 5x - 3)\\f(x)=x^2-3x-2x^2+5x-3$

Separate the similar power variable as,

$f(x)=(x^2-2x^2)+(-3x+5x)-3\\f(x)=-x^2+2x-3$

Thus the sum of the given polynomial in standard form is,

$-x^2+2x-3$

Learn more about the polynomial equation here;

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