Question

Which statement is true about the polynomial 3j^4k-2jk^3+jk^4+jk^3 after it has been fully simplified?

The polynomial is simplified to 4j^4k - jk^3.
The polynomial is simplified to j^4k - jk^3.
The polynomial is simplified to 4j^4k - 2jk^3.
The polynomial is simplified to j^4k - 2jk^3.

Answer 1

After simplifying the polynomial by combining like terms, the result is 4j^4k - jk^3.

Step-by-step explanation:

The given polynomial is 3j^4k - 2jk^3 + jk^4 + jk^3. To simplify this polynomial, we need to combine like terms. Like terms are terms that have the same variables raised to the same power. Here, 3j^4k and jk^4 are like terms, and -2jk^3 and jk^3 are also like terms.

Combining the like terms, we get:

• 3j^4k + jk^4 = 4j^4k (because 3 + 1 = 4)
• -2jk^3 + jk^3 = -jk^3 (because -2 + 1 = -1)

Therefore, after simplifying the polynomial, the result is 4j^4k - jk^3.