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Using synthetic division, what is the quotient: (2x3 _ 3x _ 10) … (x _ 2) ?


2x2 + 4x + 5


2x2 _ 4x + 5


2x2 + 4x _ 5


2x2 _ 4x _ 5 + 1 over the quantity of x minus 2

Verified Answer :

syed514

2 | 2 0 -3 -10
   | 0 4  8  10 
   | 2 4  5   0

The quotient is : 2X^2 + 4x + 5

The correct answer is:

2x² + 4x + 5

Explanation:

We first write this in standard form:

2x³+0x²+-3x-10

To set up synthetic division, we use the coefficients from the polynomial at the top:

2 0 -3 -10

To the side, we will use 2 in the box:

2| 2 0 -3 -10

We drop the first coefficient, 2, down:

2| 2 0 -3 -10

2

Next we multiply by the 2 in the box. This gives us 4 to put under the 0. We then add 0+4, which gives us 4.

We then multiply this by 2. This gives us 8 to go under the -3. We then add -3+8, which gives us 5.

We then multiply this by 2. This gives us 10 to go under the -10; adding this gives us 0.

The bottom is then 2, 4, 5, 0. This means we have 2x²+4x+5 with a remainder of 0.