Question

According to the synthetic division below, which of the following statements
are true?
Check all that apply.
54 -17 -15
20 15
3 0
4
A. (4x2-17x-15) - (x + 5) = (4x + 3)
B. The number 5 is a root of F(x) = 4x² - 17x - 15.
OC. (4x2-17x-15) - (x - 5) = (4x + 3)
D. (x+5) is a factor of 4x2-17x-15.
E. The number -5 is a root of F(x) = 4x²-17x-15.
OF. (x-5) is a factor of 4x2 - 17x-15.

Answer 1

The correct statements about the synthetic division are C, D, F.

How to illustrate the information?

It should be noted that 4x² - 17x - 15 will be:

= 4x² - 20x - 3x - 15

= (x - 5)(4x + 3)

The roots of the polynomial will be:

= f(x) = 0

(x - 5) = 0

x = 5

4x + 3 = 0

x = -3/4

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