How can you tell if an expression is a factor of a polynomial?(1 point)

Question

Responses

Use long division, and if the remainder is zero, the expression is a factor.
Use long division, and if the remainder is zero, the expression is a factor.

You can write the remainder as a fraction.
You can write the remainder as a fraction.

Multiply the expression by the polynomial, and if the result is zero, it is a factor.
Multiply the expression by the polynomial, and if the result is zero, it is a factor.

Add the expression to the polynomial, and if the result simplifies to zero, it is a factor.
Add the expression to the polynomial, and if the result simplifies to zero, it is a factor.

Answer 1

The correct response is:

Use long division, and if the remainder is zero, the expression is a factor.

When dividing a polynomial by an expression, if the division results in a zero remainder, it confirms that the expression is indeed a factor of the polynomial. The other options provided are incorrect methods to determine if an expression is a factor.