Find the difference of the polynomials below. Write your answer in descending order.
(x^3 + 2x^2 + 5x + 7) - (3x^3 - 2.5x^2 + 5x + 5)
I will start you out:
-2x^3+.5x^2 ....+2
in the second part of parenthesis distribute the negative(multiply the negative by everything in the parenthesis) and then combine like terms
your answer will be -2x^3+4.5x^2-10x+2
To find the difference of the given polynomials, we need to subtract the second polynomial from the first. Let's distribute the negative sign to each term of the second polynomial:
(x^3 + 2x^2 + 5x + 7) - 3x^3 + 2.5x^2 - 5x - 5
Now, let's collect like terms:
(x^3 - 3x^3) + (2x^2 + 2.5x^2) + (5x - 5x) + (7 - 5)
This simplifies to:
(-2x^3) + (4.5x^2) + (0) + (2)
Therefore, the difference of the polynomials is -2x^3 + 4.5x^2 + 2, written in descending order.