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Help plz!!!! This is precal

Help plz!!!! This is precal-example-1

1 Answer

3 votes

Answer:

The remainder is 0 ⇒ 3rd answer

Explanation:

* In the synthetic calculation we use the coefficient of the dividend

with the value of x when the divisor = 0

∵ x - 1 = 0 ⇒ add 1 to both sides

∴ x = 1

Step 1 : Write down the coefficients of the f(x) , put x = 1 at the left

1 1 0 -1 1 -1

________________

Step 2 : Bring down the first coefficient to the bottom row.

1 1 0 -1 1 -1

________________

1

Step 3 : Multiply it by 1, and carry the result into the next column.

1 1 0 -1 1 -1

____ 1_________

1

Step 4 : Add down the column

1 1 0 -1 1 -1

____1__________

1 1

Step 5 : Multiply it by 1, and carry the result into the next column

1 1 0 -1 1 -1

_____1___1_______

1 1

Step 6 : Add down the column

1 1 0 -1 1 -1

____1___1______

1 1 0

Step 7 : Multiply it by 1, and carry the result into the next column

1 1 0 -1 1 -1

___1___1___0______

1 1 0

Step 8 : Add down the column

1 1 0 -1 1 -1

_____1____1__0_____

1 1 0 1

Step 9 : Multiply it by 1, and carry the result into the next column

1 1 0 -1 1 -1

____1____1___0___1___

1 1 0 1

Step 10 : Add down the column

1 1 0 -1 1 -1

____1____1___0___1___

1 1 0 1 0

∴ The quotient is (x³ + x² + 1 ) and the remainder is 0

* The remainder is 0

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