Respuesta :
Thank you for posting your question here at brainly. Among the choices the scenarios best describes division of a polynomial using synthetic division are the below:
3. If there is a number in the last term of the quotient, then there is a remainder.
4. The quotient is written as a polynomial with a degree one power greater than the original dividend.
3. If there is a number in the last term of the quotient, then there is a remainder.
4. The quotient is written as a polynomial with a degree one power greater than the original dividend.
The correct answers are:
1, 3 and 4.
Explanation:
We use synthetic division to divide a polynomial by a binomial of the form x-c, where c is a constant. x-c is a linear term, so 1 is true.
When we begin synthetic division, we place the value of c outside the box. Since c is a constant, and not a variable, then 2 is not true.
When we finish synthetic division, if there is a number other than 0 in the last term of the quotient (answer), this is a remainder. This makes 3 true.
When converting the answer from synthetic division to a polynomial, we use our numbers in the quotient as the coefficients of variables, starting with exponents that are 1 less than the original dividend; this makes 4 true.
1, 3 and 4.
Explanation:
We use synthetic division to divide a polynomial by a binomial of the form x-c, where c is a constant. x-c is a linear term, so 1 is true.
When we begin synthetic division, we place the value of c outside the box. Since c is a constant, and not a variable, then 2 is not true.
When we finish synthetic division, if there is a number other than 0 in the last term of the quotient (answer), this is a remainder. This makes 3 true.
When converting the answer from synthetic division to a polynomial, we use our numbers in the quotient as the coefficients of variables, starting with exponents that are 1 less than the original dividend; this makes 4 true.
