Answer:
Step-by-step explanation:
This is a third degree polynomial because we are given three roots to multiply together to get it. Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root. Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.
Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):
If x = -4, then the factor is (x + 4)
If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)
If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)
Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):
(x - 2 - i)(x - 2 + i) =
Combining like terms and canceling out the things that cancel out leaves us with:
Remembr that , so we can rewrite that as
and
That's the product of the 2 imaginary factors. Now we need to FOIL in the real factor:
That product is
which simplifies down to
And there you go!
Answer:
Step-by-step explanation:
<em>The</em><em> </em><em>right</em><em> answer</em><em> is</em><em> </em><em>7</em><em>/</em><em>3</em>
<em>please</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>
<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
1 ) Multiply the largest number (10) by 1.
Can the smallest (4) go into this number evenly?
10 x 1 = 10
10/4 = 2.5 ❌
2 ) Now multiply the largest number by 2.
Can the smallest go into this number evenly?
10 x 2 = 20
20/4 = 5 ✅
The LCD is 20
<h2>BRAINLIEST please if this helped!</h2>
The exact value would be the terminals side of angle given