Answer:
+ 3x² - 4
Step-by-step explanation:
Note that complex zeros occur in conjugate pairs
If 2i is a zero then - 2i is a zero
The zeros are x = 1, x = - 1, x = 2i, x = - 2i, thus the factors are
(x - 1), (x + 1), (x - 2i) and (x + 2i)
The polynomial is expressed as the product of the factors, thus
f(x) = (x - 1)(x + 1)(x - 2i)(x + 2i) ← expanding in pairs
= (x² - 1)(x² - 4i²) → i² = - 1
= (x² - 1)(x² + 4) ← distribute
= + 4x² - x² - 4
= + 3x² - 4
Answer: Ratio of new volume to original volume is 2:1.
Step-by-step explanation:
Let the radius of cylinder be 'r'
Let the height of cylinder be 'h'
Original volume of cylinder will be
If radius get doubled,
New radius be '2r'
If height get halved,
New height be will be
so, Volume of cylinder becomes
Ratio of new volume to the original volume is given by
Hence, Ratio of new volume to original volume is 2:1.
Answer:
<h2>A. -2y+5x/3x-2y</h2>Step-by-step explanation:
Given the complex fraction;
First we will find the LCM of the numerator and the denominator as shown below;
Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;
This gives the required answer