which of the following statements is not true (false) regarding synthetic division of polynomials learned in…

which of the following statements is not true (false) regarding synthetic division of polynomials learned in class? synthetic division can only be used when the divisor is linear. if the remainder of the synthetic division is zero, both the divisor and the quotient are fully factored polynomials of the dividend. all of the statements in this question are true! it is a much quicker and efficient method of polynomial division, especially for higher degree polynomials. all of the statements in this question are false! zero must be used as the coefficient of any missing powers of the variable in both the divisor and the dividend.

which of the following statements is not true (false) regarding synthetic division of polynomials learned in class? synthetic division can only be used when the divisor is linear. if the remainder of the synthetic division is zero, both the divisor and the quotient are fully factored polynomials of the dividend. all of the statements in this question are true! it is a much quicker and efficient method of polynomial division, especially for higher degree polynomials. all of the statements in this question are false! zero must be used as the coefficient of any missing powers of the variable in both the divisor and the dividend.

Answer

Brief Explanations:

  1. Synthetic division is indeed only applicable when the divisor is of the form (x - c) (linear).
  2. If the remainder of synthetic - division is zero, the divisor and quotient are factors of the dividend.
  3. Synthetic division is a quicker and more efficient method for polynomial division, especially for higher - degree polynomials when dividing by a linear factor.
  4. When performing synthetic division, for any missing powers of the variable in the dividend, zero must be used as the coefficient. So, all the statements are true.

Answer:

C. All of the statements in this question are true!