To create an equivalent form of the rational expression, we can factor out the greatest common factor from all the terms in the numerator. In this case, the greatest common factor is 14:
56k^7 - 14k^3 + 14 = 14(4k^7 - k^3 + 1)
Now, we can simplify the rational expression:
(14(4k^7 - k^3 + 1))/(7k^3)
= (2(4k^7 - k^3 + 1))/(k^3)
= (8k^7 - 2k^3 + 2)/(k^3)
Therefore, the correct equivalent form is:
8k^7 - 2k^3 + 2/k^3
Myrna was asked to create an equivalent form of the rational expression 56k^7-14k^3+14/7k^3. Which of the following is a correct equivalent form?
8k^4 - 2k + 2/k^3
8k^4 + 2/k^3
8k^10 - 2k^6 + 2/k^3
8k^4 - 2 + 2/k^3
1 answer