(-x^2-4x-3)(x^2+5x-2) MULTIPLY THE POLYNOMIALS
To multiply the polynomials (-x^2-4x-3) and (x^2+5x-2), we need to distribute each term of the first polynomial to every term of the second polynomial.
First, let's distribute the terms of the first polynomial to the terms of the second polynomial:
(-x^2-4x-3)(x^2) = -x^4-4x^3-3x^2
(-x^2-4x-3)(5x) = -5x^3-20x^2-15x
(-x^2-4x-3)(-2) = 2x^2+8x+6
Next, we combine the like terms:
(-x^4-4x^3-3x^2)+(-5x^3-20x^2-15x)+(2x^2+8x+6)
= -x^4-4x^3-5x^3-3x^2-20x^2+2x^2-15x+8x+6
= -x^4-9x^3-21x^2-7x+6
Therefore, the product of the polynomials (-x^2-4x-3) and (x^2+5x-2) is -x^4-9x^3-21x^2-7x+6.