Question

the polynomial a x cube minus 3 X square + 4 and 2 x cube minus 5 x + a when divided by x minus 2 the remainder P and Q respectively if P - 2q is equal to 4 find the value of a​

Answer 1

hope this is helpful..

Answer 2

value of a​ = 4 if P - 2Q  = 4 & P , Q are remainder when ax³ - 3x² + 4 & 2x³ - 5x + a are divided by x -2 respectively

Step-by-step explanation:

ax³ - 3x² + 4

Divided by x - 2  

Remainder = P

P = a(2)³ - 3(2)² + 4

=> P = 8a - 12 + 4

=> P = 8a - 8

2x³ - 5x + a

Divided by x - 2  

Remainder = Q

Q = 2(2)³ - 5(2) + a

=> Q = 16 - 10 + a

=> Q = 6 + a

P - 2Q  = 4

=> 8a - 8 - 2(6 + a) = 4

=> 8a - 8 - 12 - 2a = 4

=> 6a = 24

=> a = 4

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