When f(x) = 15x³ – 14x² – 4x + 10 is divided by (3x + 2), then the remainder is:

2

f(x) = 15x³ – 14x² – 4x + 10 is divided by (3x + 2)

Put 3x + 2 = 0 ,

 x = (-\(\frac{2}{3}\))

put the value of x given equation,

= 15x³ – 14x² – 4x + 10, 

= 15(-\(\frac{2}{3}\))³ - 14((-\(\frac{2}{3}\))² - 4(-\(\frac{2}{3}\)) +10 

= (-\(\frac{40}{9}\))- (\(\frac{56}{9}\)) + (\(\frac{8}{3}\)) + 10  

= (\(\frac{114}{9}\))  - (\(\frac{96}{9}\)) = (\(\frac{18}{9}\)) =2