Answer:
A. The remainder isn't 0 and, therefore, (y − 3) isn't a factor of (y4 + 2y2 − 4).
Step-by-step explanation:
Use the remainder theorem and the factor theorem to determine whether (y − 3) is a factor of (y^4 + 2y^2 − 4).
y-3 is a factor then y-3=0 so y= 3
Now we plug in 3 for y in the given expression (y^4 + 2y^2 − 4)
(3)^4 + 2(3)^2 − 4= 81 + 18 -4=95
Remainder is 95
The remainder is not 0, so (y-3) is not a factor of the given expression
the remainder isn't 0 and, therefore, (y − 3) isn't a factor of (y^4 + 2y^2 − 4).
