5.4 Exercise 56

Use synthetic division to find the quotient. Ensure the equation is in the form required by synthetic division. (Hint: divide the dividend and divisor by the coefficient of the linear term in the divisor.)

$\left(4 x^{4} + 2 x^{3} - 4 x^{2} + 2 x + 2\right) \div \left(2 x + 1\right)$