Question

The binomial x + 2 is the divisor of 4x3 – 9x2 – 30x + 8. Use complete sentences to explain how you use (either) polynomial division or synthetic division to find the quotient. Be sure to provide this quotient in your answer.

Answer 1

In order to use synthetic division in order to divide, first set the divisor equal to 0 and solve for x. x = -2. Then, plug the problem into the synthetic division format. Line up the coefficients of the dividend in a row, skip a line, draw a line, and set a separate box for -2 in the corner. Then bring down the first term, 4, under that number and under the line. Then multiply 4 by -2 and place it under the term -9. Find the sum and bring it under the line in the same column which should be -17. Then multiply -17 by -2 and place it under -30. Find the sum, 4, and bring it down under the line in the same column. Then multiply that, 4, by -2 and place it under the 8. Find the sum to find that there is no remainder. Then, place the lowered degrees of x for the newfound coefficients. It should be:
-17x^2 + 4x. This is the quotient or depressed equation.

Answer 2

Sorry. I made an error in the explanation.