Find the product of -x^2 + 2x - 5 and 3x + 2
______x^3 + _______x^2 + _________x + _________
3.
-3.
4.
-4.
10.
-10.
11.
-11.
To find the product of -x^2 + 2x - 5 and 3x + 2, we use the distributive property to multiply the terms:
- x^2 * 3x = -3x^3
- x^2 * 2 = -2x^2
2x * 3x = 6x^2
2x * 2 = 4x
-5 * 3x = -15x
-5 * 2 = -10
So the product of -x^2 + 2x - 5 and 3x + 2 is: -3x^3 - 2x^2 + 6x^2 + 4x - 15x - 10.
Simplifying the terms:
-3x^3 + 4x^2 - 11x - 10
Thus, the final expression is: x^3 + 4x^2 - 11x - 10.