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.

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asked Apr 4, 2024 98.3k views

1 Answer

John Baum · Answer 1 · 2024-04-08T15:37:42+0000

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

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.