Answer:
Step-by-step explanation:
See the attachment.
At each step, the value being subtracted from the dividend is the product of the quotient term and the divisor. The quotient term is found by dividing the highest-degree term of the dividend by the highest degree term of the divisor (x).
When the dividend has a degree that is less than the degree of the divisor, we call that value (20) the remainder.
The quadratic formula is:
and
Let's identify our a, b, and c values:
a: -1
b: 1
c: 12
Plug in the values for a, b, and c into the equation. Let's do the first equation:
Simplify everything in the radical:
Simplify the radical:
Combine like terms:
Simplify:
This is one solution, now, let's solve for the other equation:
Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:
Combine like terms:
Simplify:
Your final answers are: