If complex coefficients are allowed, the answer is 3.
If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.
Root -5 is real, so that is 1 root, and degree 1.
Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.
Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.
Answer: The least possible degree is 5 with real coefficients.
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Thus, the answer is a+ba=1
Answer:
YES
Step-by-step explanation:
32(2)>19
64>19
TRUE
Answer:
<h2>C. 475 inches </h2>
Step-by-step explanation:
Step one:
given
the number of tiles is 100 in total
the dimension of the tiles is 4.75 inches wide
Step two:
Required
We want to find the length that 100 tiles will cover
Hence the length will be 4.75*100
=475inches
<em>Therefore the option C is correct</em>
