Answer:
Explanation:
10k^2 + 35k + 49
_____________________
5k - 4 | 50k^3 + 10k^2 - 35k - 7
50k^3 - 40k^2
_____________
50k^2 - 35k
50k^2 - 40k
__________
5k - 7
Therefore, the quotient is 10k^2 + 35k + 49 and the remainder is 5k - 7.
Thus, we can write:
50k³ + 10k² - 35k - 7 = (5k-4)(10k^2 + 35k + 49) + (5k-7)