Question

Adding and Subtracting Polynomials Mar 21, 5:41:02 PM Subtract -4x^(2)-x+10 from x^(2)+10x. Answer:

Answer 1

To subtract the polynomial -4x^2-x+10 from x^2+10x, reverse the sign of the terms being subtracted and combine like terms to get the final answer, 5x^2 + 11x - 10.

Step-by-step explanation:

Subtracting Polynomials

To subtract the polynomial -4x^2-x+10 from x^2+10x, change the sign of each term in the polynomial being subtracted and then combine like terms:

1. x^2 + 10x (+4x^2) (+1x) (-10).
2. Combining like terms, we get x^2 + 4x^2 + 10x + 1x - 10.
3. This results in 5x^2 + 11x - 10, which is the final answer.

Note that when performing subtraction, we basically reverse the sign of each term in the polynomial being subtracted before adding the terms together.

This concept is similar to when we subtract a positive number from another, like in the expression 5-(+3) = 5-3 = 2.