Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
Annabelle could arrange her blocks in one row of 42 building blocks as 1 times 42 = 42.
She could also arrange her blocks in 2 rows of 21 blocks because 2 times 21 is also 42.
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
Answer:
y = x - 3
Step-by-step explanation: