Question

Use synthetic division to determine whether or not (x + 1) is a factor of (523 – 1222 – 11x +6).Quotient:help (formulas)- Remainder:help (numbers)

Answer 1

We will solve as follows:

So, we are trying to find:

`(5x^3-12x^2-11x+6)/(x+1)`

Now, we proceed as follows:

*We take the constant term of the divisror with the opposite sign and write it to the left.

*We write the coefficients of the dividenf to the right:

Then, we proceed to operate:

From this, we will have that the quotient is:

`5x^2-17x+6`

And the remainder is 0.

So, (x + 1) is in fact a factor of (5x^3 -12x^2 -11x + 6).