Answer:
Step-by-step explanation:
<h3>Step 3:</h3> --------------------(1)
Take the expression
<u>We can also write it as:</u>
According to the formula , the b of this expression is
. So,
b² will be:
So, we will add to both sides in Eq. (1)
For STEP 4, the equation will become:
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