The sum of two trinomials is 6x2 - 5x + 4. If one of the trinomials is 4x2 + 3x - 2, then what is the other trinomial?

The other trinomial is 2x² - 8x + 6.

Step-by-step explanation:

Consider the provided information.

The sum of two trinomials is 6x² - 5x + 4.

One trinomials is 4x² + 3x - 2,

To find the answer for this problem simply subtract them as shown:

6x² - 5x + 4 - (4x² + 3x - 2)

6x² - 5x + 4 - 4x² - 3x + 2)

Add the like terms.

6x² - 4x² - 5x - 3x + 4 + 2

2x² - 8x + 6

Hence, the other trinomial is 2x² - 8x + 6.

Subtract the known trinomial from the total sum:

6x2 - 5x + 4 - 4x2 + 3x - 2 = 2X^2 - 8x + 6