Question

When dividing polynominal‘s if the remainder is zero no remainder then the divisor is a factor. Used synthetic division to determine if the first expression is a factor of the second expression:First expression: x +1Second expression: x^3+2x+3If it is a factor then just type the quotient as the answer. If it is not a factor then just type “no”. Be sure to type your answer in descending powers of x with no spaces between terms.

Answer 1

`\begin{gathered} x+1 \\ x^3+2x+3 \end{gathered}`

Using synthetic division:

So:

`(x^3+2x+3)/(x+1)=x^2-x+3`

Therefore, we can conclude it is a factor and the quotient is: x² - x + 3