MATH SOLVE

2 months ago

Q:
# 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)

Accepted Solution

A:

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.

-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.