What is the coefficient of x^2 when -5x^3 - 5x^2 - 7x + 1 is multiplied by -x^2 - 6x + 1 + 3x^2 + 4x - 3 and the like terms are combined?
-x^2 -6x + 1 + 3x^2 + 4x - 3 simplifies to
2x^2 - 2x - 2
The coefficient on the x^2 term will come from the multiplication of these terms
-5x^2 * - 2 = 10x^2
-7x * -2x = 14x^2
1 * 2x^2 = 2x^2