Final answer:
To rewrite the polynomial P(x) = x^3 - 3x^2 - 10x + 24 in standard form, group and combine like terms in decreasing order of powers of x.
Step-by-step explanation:
To rewrite the polynomial P(x) = x^3 - 3x^2 - 10x + 24 in standard form, we need to rearrange the terms so that they are in decreasing order of powers of x.
Start by grouping the terms with the same power of x:
P(x) = (x^3 - 3x^2) - 10x + 24
Now, combine like terms:
P(x) = x^3 - 3x^2 - 10x + 24
So, the polynomial written in standard form is P(x) = x^3 - 3x^2 - 10x + 24.