If one root is x = 6, then this polynomial is divisible by: x - 6. ( x³ - 4 x² - 20 x + 48 ) : ( x - 6 ) = x² + 2 x - 8 - x³ + 6x² --------------- 2 x² - 20 x -2x² + 12 x ----------------- - 8 x + 48 8 x - 48 -------------------- After that : x²+ 2 x - 8 = x² + 4 x - 2 x - 8 = x * ( x + 4 ) - 2 * ( x + 4 ) = = ( x + 4 ) ( x - 2 ) Answer: C ) ( x - 2 ) ( x + 4 ) ( x - 6 )
the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.
