# How do you use the remainder theorem and the factor theorem to determine whether (y – 3) is a factor of (y^4 + 2y^2 – 4)?

##### 1 Answer
Jun 16, 2016

95 is the remainder

#### Explanation:

you must consider the known term of the bynomial (-3), change its sign (3) and put it in the polynomial in y:

${3}^{4} + 2 \cdot {3}^{2} - 4$

$81 + 18 - 4$

95 is the remainder