simplify the expression (x^4+4x^3-5x-20)÷(x+4) using synthetic division. after doing the synthetic division, which gives you just coefficients. convert the coefficient quotient answer, into a polynomial with variable x and the correct exponent powers in it. convert your coefficient answer into a polynomial.
hint: remember to fill in any missing degree terms in your dividend with coefficients that are zero to represent missing place holders.

The answer to your question is:  (x³ - 5) (x + 4)

Step-by-step explanation:

x⁴ + 4x³ - 5x - 20      /     x + 4                x = -4

                  1     4     0     -5     -20           -4

                      -4       0     0    +20

                   1    0      0    -5       0        =   x³ - 5

Finally   (x³ - 5) (x + 4) = x⁴ + 4x³ - 5x - 20

you answer is a

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)