Question

Lauren subtracted 6X squared three minus 2X +3 from minus 3X squared 3+ 5X 2+ 4X -7. Use the drop-down menu to identify the steps Lauren used to find the difference.

Answer 1

Lauren subtracts one polynomial from another by changing the signs of the subtracted polynomial and then combining like terms to find the difference.

Step-by-step explanation:

• Lauren is working on a problem that involves subtracting one polynomial from another. In this case, to find the difference, she needs to subtract the polynomial 6X2 + (-2X) + 3 from -3X2 + 5X2 + 4X - 7. To do this, she changes the sign of each term in the polynomial being subtracted and then adds the corresponding terms.
• The steps Lauren would take are as follows:
• Add the resulting terms to the first polynomial: (-3X2 - 6X2) + (5X2 + 2X) + (4X) - 7.
• Combine like terms to find the difference.