What is the remainder when the polynomial 4x2+10x−4 is divided by 2x−1? enter your answer in the box.

2

Step-by-step explanation:

Please express your 4x2+10x−4 as 4x^2+10x−4.  The " ^ " symbol denotes exponentiation.

Let's use synthetic division to carry out this division.  For this purpose the coefficients of the polynomial 4x^2+10x−4 are 4, 10 and -4.  If we are to divide this poly by 2x - 1 in long division, the equivalent divisor for use in synthetic div. is 1/2.

1/2   /   4    10    -4

                   2     6

          4       12     2    The remainder turns out to be 2.

47 - 90 = 43

43 - 180 = x

x = 137