Answer:
2
Step-by-step explanation:
According to the fundamental theorem of Algebra
A polynomial of degree 3 has 3 roots
However, complex roots occur in conjugate pairs, hence
There can only be 2 distinct complex roots.
There’s none underlined but I’m guessing you mean by Letter C being the answer.
Answer:
three-fifths over three-eights equals one and three-fifths miles per hour
Step-by-step explanation:
- The martinez family walked three over five of a mile; this means they walked 3/5 of a mile.
- They walked such distance in in three over eight of an hour, this means 3/8 of an hour.
To find the rate in miles per hour, we have to divide 3/5 divided 3/8.
TO make division of fraction, we must invert the second fraction and multiply them:
The ratio is 8/5 miles per hour. In the answer given it is expressed as a mixed numer 1 3/5 that is equal to 8/5.
To transform a fraction to a mixed number, you have to divide numerator by denominator. Explanation is in figure attached.
Answer:
a=-3
Step-by-step explanation:
The graph of P passes through the point (2,0), thus P(2)=0. This means that 2 is a root of this polynomial, and it has multiplicity 2. Therefore (x-2)² is a factor of P and it's the maximum power of (x-2) that divides P, then b=2.
The graph of P also passes through (5,0), so P(5)=0. Then 5 is another root of p, that is, (x-5) is a factor of P. From this, c=5.
At this point, we have that P(x)=a(x-2)²(x-5). Again, because the graph of the function P(x) passes through (0,60) we obtain that P(0)=60. Substituting in our previous equation, 60=P(0)=a(-2)²(-5)=-20a. Dividing both sides by -20, we conclude that a=-3.
