Answer :
Given polynomial
f(x) = 14x² + 13x - 12
g(x) = 7x - 4
By the remainder theorem ,
If f(x) is divided by ( x - a) then it leaves a remainder f(a)
Now,
If f(x) is divided by 7x - 4 then it leaves a remainder f(4/7)
Now,
f(4/7 ) = 14(4/7)² + 13(4/7) - 12
= 14 ( 16/49) + 52/7 - 12
= 32/7 + 52/7 - 12
= 84/7 - 12
= 12 - 12
= 0 .
Therefore, If 14x² + 13x - 12 is divided by 7x - 4 then it leaves a remainder 0
f(x) = 14x² + 13x - 12
g(x) = 7x - 4
By the remainder theorem ,
If f(x) is divided by ( x - a) then it leaves a remainder f(a)
Now,
If f(x) is divided by 7x - 4 then it leaves a remainder f(4/7)
Now,
f(4/7 ) = 14(4/7)² + 13(4/7) - 12
= 14 ( 16/49) + 52/7 - 12
= 32/7 + 52/7 - 12
= 84/7 - 12
= 12 - 12
= 0 .
Therefore, If 14x² + 13x - 12 is divided by 7x - 4 then it leaves a remainder 0