Determine the sum of the polynomials below

Question

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

Answer 1

To find the sum of these two polynomials, we must first multiply them.

Using the distributive property, we multiply each term of the first polynomial by each term of the second polynomial:

(3x^2+5x)(-2x^2+2x-5) = -6x^4 + 6x^3 - 15x^2 - 10x^3 + 10x^2 - 25x

Next, we combine like terms:

-6x^4 + 6x^3 - 15x^2 - 10x^3 + 10x^2 - 25x = -6x^4 + (-4x^3) + (-5x^2) + (-25x)

Finally, we simplify further if necessary:

-6x^4 - 4x^3 - 5x^2 - 25x

So, the sum of the two polynomials is -6x^4 - 4x^3 - 5x^2 - 25x.