Final answer to the problem
Step-by-step Solution
Learn how to solve synthetic division of polynomials problems step by step online. Simplify the expression (x^3+8x+-49)/(x-7). Let's divide the polynomial by x-7 using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient (1) and multiply it by the root of the denominator (7). Add the result to the second coefficient and multiply this by 7 and so on. In the last row appear the new coefficients of the polynomial. Use these coefficients to rewrite the new polynomial with a lower grade, and the remainder (350) divided by the divisor.