add or subtract the following polynomials as indicated (5.9x3 + 3.4x2 -7)-(2.9x3-9.6x2 +3)
5.9x^3 + 3.4x^2 - 7
-2.9x^3 +9.6x^2 - 3
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3.0x^3 + 13.0x^2 - 10
post it.
To add or subtract polynomials, we need to combine like terms.
Let's start by subtracting:
(5.9x^3 + 3.4x^2 - 7) - (2.9x^3 - 9.6x^2 + 3)
To subtract, we change the sign of each term in the second polynomial and combine like terms.
= 5.9x^3 + 3.4x^2 - 7 - 2.9x^3 + 9.6x^2 - 3
Now, let's group the like terms together:
= (5.9x^3 - 2.9x^3) + (3.4x^2 + 9.6x^2) + (-7 - 3)
Simplifying each grouping:
= 3x^3 + 13x^2 - 10
Therefore, the result of (5.9x^3 + 3.4x^2 - 7) - (2.9x^3 - 9.6x^2 + 3) is 3x^3 + 13x^2 - 10.