Which of the following options represents the desired result when using synthetic division to find the upper bound of the polynomial
F(x) =x^4-x^3-7x^2+x+6

Option (C)

Step-by-step explanation:

Given function is F(x) = x³+ 4x² + x - 6

Possible rational zeros of this function = \frac{\pm1,\pm2,\pm3,\pm6}{\pm1}

±1

±1,±2,±3,±6

[Possible rational zeros of a function f(x) = ax³+ bx² + cx + d,

= \frac{\text{factors of d}}{\text{factors of a}}

factors of a

factors of d

Let the possible zero of this function is 2.

Now do the synthetic division,

2| 1 4 1 -6

↓ 2 12 26

1 6 13 20

Here all the numbers at the bottom are positive by dividing with a positive number 2, therefore, 2 is the upper bound.

There will be no rational zero (Positive) above 2.

Therefore, Option (C) will be the answer.

i am thinking c. sorry if im wrong .

step-by-step explanation: