Question

given that (x+2) is a factor of (3x+4)^3 - (5x+a)^3 find the value of a

Answer 1

Step-by-step explanation:

ans of a= 9.9732619. by factor theorem method

Answer 2

Answer:

The answer is 8

Step-by-step explanation:

If (x+2) is a factor of (3x+4)^3 - (5x+a)^3 then it will divide the equation without leaving a remainder.

∴ x+2=0

x= -2

∴ (3x+4)^3 - (5x+a)^3 = 0

∴(3(-2)+4)^3 - (5(-2)+a)^3 = 0

∴(-6+4)^3 - (-10+a)^3 = 0

∴(-2)^3 = (-10+a)^3

∴ -2 = -10+a

∴ -2+10 = a

∴ 8 = a

→ a = 8