Question

if (9x^3 + 3x^2 - 3) and (2x-5x+a) when divided by (x-4) each leave the remainder m and n respectively and m+n = 0. Find the value of a

Answer 1

Answer:

By Remainder Theorem,

$</p><p>R1=a(4)3+3(4)2−3=64a+45                            ...(i)</p><p>R2=2(4)3−5(4)+a=128−20+a=108+a              ...(ii)</p><p>Given: 2R1−R2=0</p><p>∴2(64a+45)−(108+a)=0                (from (i) and (ii))</p><p>⇒128a+90−108−a=0</p><p>⇒127a=18</p><p>a=12718</p><p></p><p></p><p>$