In order for the polynomial to be a degree of 4, it must have exactly 4 roots. According to the fundamental theorem of algebra: "The number of roots in a function is equivalent to the degree of the function"
These roots do not have to be real numbers, which means they can be imaginary or complex.
In this case, (-11 - √2i), (3 + 4i), and 10. There are three roots, which means that the polynomial can be a third of fourth degree polynomial. It is wrong for Patricia to assume that this is a fourth degree polynomial when only three roots are known.
<h3><u>The degree of the polynomial will at least be three, but could be higher.</u></h3>
X+15=102
102-15=x
x=87
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Answer:
Depth of Martens aquarium water = 14 cm.
Step-by-step explanation:
Given:
An aquarium,which is a right rectangular prism.
Length of the aquarium, 
= 18.5 cm
Width of the aquarium, 
= 15 cm
Volume of the aquarium, 
= 3885 cm cubes
We have to find the depth of the aquarium.
Let the depth be 
cm.
Note:
Volume of the rectangular prism,V=lbh.
⇒ = 
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
cm
So,
The depth of the aquarium water is 14 cm.
Answer:
130 feet or 39.6m
Step-by-step explanation:
for Marely's first rectangular park, L=54 and B= 38
Total perimeter of distance walked in first rectangular park is 2(L+B), which is 2(54+38) =184 feet
For Marely's second rectangular park, L= 32 and B=22
Total perimeter of second distance 2(L+B), which is 2(32+22) = 108 feet
Total perimeter covered by Marely = (P1+P2) 184+108 = 292 feet
Marely's brother = 2(L+B)
2(48+33) = 162 feet
Hence, difference is 292-162 = 130 feet or 39.6m
