Sorry this a lot.According to the synthetic division below, which of the following statements are true? -4| 3 7 -20 -12 20______________ 3 -5 0Check all that apply. A. (x - 4) is a factor of 3x^2 + 7x - 20. B. (x + 4) is a factor of 3x^2 + 7x - 20. C. The number -4 is a root of F(x) = 3x^2 + 7x - 20. D. The number 4 is a root of F(x) = 3x^2 + 7x - 20. E. (3x^2 + 7x - 20) (x - 4) = (3x - 5) F. (3x^2 + 7x - 20) (x + 4) = (3x - 5)

Your
-4| 3 7 -20
-12 20
______________
3 -5 0
is a bit hard to read.  Try this format:
      __________
-4  /   3    7    -20
              -12   20
      -------------------
         3    -5      0

Because the remainder is 0, we know that -4 is a root and (x+4) is a factor.  Note the new coefficients in the last row:    3   -5.  They are the coeff. of the quotient, namely, 3x-5.  So (3x-5) is a factor of the original polynomial.