If 14x² + 13x − 15 is divided by 7x − 4, the remainder is
A
3
B
−3
C
0
D
None of these
Correct Option:
B
Explanation
By the remainder theorem for a divisor 7x − 4, substitute x = 4/7 into 14x² + 13x − 15. This gives 14(16/49) + 52/7 − 15 = 32/7 + 52/7 − 15 = 12 − 15 = −3. Hence the remainder is −3.
