Answer of question 15 and 16

15. What will be the remainder when $6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}$  is divided by (2x² – 3)?
(a) $\frac{1}{2}$
(b) $-\frac{1}{2}$
(c) 0
(d) $-\frac{9}{2}$

16. What should be subtracted from 8x⁴ + 14x³ – 2x² + 7x – 8 so that the resulting polynomial is exactly divisible by 4x² + 3x – 2.

(a) –14x +10
(b) 13x – 9
(c) 14x – 10
(d) –10