What is the standard form of this polynomial: 7-x^3 + 2x - 4x^3?
The standard form of a polynomial is the form in which the degree of each term is arranged in decreasing order.
To find the standard form of the polynomial 7-x^3 + 2x - 4x^3, first combine the terms with the same degree:
-4x^3 - x^3 + 2x + 7
Now arrange the terms in decreasing order of degree:
-4x^3 - x^3 + 2x + 7
Combine the like terms:
(-4-1)x^3 + 2x + 7
Simplify:
-5x^3 + 2x + 7
Therefore, the standard form of the polynomial 7-x^3 + 2x - 4x^3 is -5x^3 + 2x + 7.