Answer:
Option (A),
_____________
-2 | 5 9 -6
Step-by-step explanation:
Division is an algorithm that is used to find the factors of a number. One method of dividing polynomials is through a process of Synthetic division. Synthetic division for polynomials requires that the divisor (an expression that one uses to divide the polynomial) is linear. One will then set the divisor equal to zero and solve for the unknown such as the following,
x + 2 = 0
x = -2
Under the division sign, one will put all of the coefficients of the divided (the number that will be divided) in order of degree. The coefficient of the term with the highest degree is on the leftmost side, the lowest degree is the rightmost. Therefore the problem would appear as the following,
[tex]\frac{5x^2+9x-6}{x+2}[/tex]
= ([tex]5x^2+9x-6[/tex]) ÷ ([tex]x+2[/tex])
_____________
-2 | 5 9 -6
Therefore, the correct choice is option (A).
