Question

Using the reminder therom 4x^3+6x^2+3x+2 is divided by 2x + 3​

Answer 1

Answer:

-5/2 or -2.5.

Step-by-step explanation:

The remainder theorem states that if the polynomial f(x) is  divided by (x - a) then the remainder is f(a).

To find the remainder we put x = -3/2 (  by solving 2x + 3 = 0).

The remainder = 4(-3/2)^3 + 6(-3/2)^2 + 3(-3/2) + 2

= -27/2 + 27/2 - 9/2 + 2

= -9/2 + 4/2

= -5/2.