Question

What dividend is represented by the synthetic division below?12 10 15-5-10 0 -52010O-10x²-5O 2x³+10x²+x+50 2x2+102x3 + x

Answer 1

Explanation:

In a synthetic division, we have a dividend and a divisor.

For example in this expression:

3x^2+2x+1 is the dividend and x-7 is the divisor,

And the synthetic is arranged as follows:

Note that the numbers 3, 2, and 1 correspond to the dividend coefficients.

In this case, the numbers we have are:

The dividend coefficients are 2, 10, 1 and 5.

These numbers are only found in the following expression from the options:

$2x^3+10x^2+x+5$

Which is the second option.

Answer:

$2x^{3}+10x^{2}+x+5$