Answer:
The two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Step-by-step explanation:
When two polynomials are subtracted the difference is
-4x² - 7x + 9
One of the polynomials is
x² - 4x + 2
To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2
First Option:
(x² - 4x + 2) + (-4x² - 7x + 9)
= x² - 4x + 2 - 4x² - 7x + 9
= x² - 4x² - 4x - 7x + 2 + 9
= -3x² - 11x + 11
Secons Option:
(x² - 4x + 2) - (-4x² - 7x + 9)
= x² - 4x + 2 + 4x² + 7x - 9
= x² + 4x² - 4x + 7x + 2 - 9
= 5x² + 3x - 7
Therefore, the two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
