subtract the two polynomials
(3x^5-2x^4-5)-(2x^4+x^2-10)
To subtract the polynomials (3x^5 - 2x^4 - 5) - (2x^4 + x^2 - 10), we combine like terms.
Starting with the x^5 term, there is a coefficient of 3x^5 and no other x^5 term to combine it with. Thus, we leave it as is.
Moving on to the x^4 term, we have -2x^4 - 2x^4. Combining these terms gives us -4x^4.
For the x^2 term, we have no other x^2 term to combine it with, so we leave it as x^2.
Finally, we have -5 - (-10), which simplifies to -5 + 10 = 5.
Putting it all together, the result of the subtraction is:
3x^5 - 4x^4 + x^2 + 5.