Explain why the sum of -8 and 2 is negative, but the sum of 8 and -2 is positive.

Adding a negitive number to a positive number is th esame as subtracting from that number.

If you have 2 and you add -8. You are really subtracting 8 from 2. 8 is bigger then 2 so your answer will be negitive. However for the second problom, 2 is less then 8 so the answer will be possitive.

Step-by-step explanation:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form