The given polynomial is f(x) = x³ + x² + 4x + 4
Use the Remainder Theorem to identify the first zero.
From the Rational Zeros Theorem, possible zeros are +/- 1, +/- 2, +/- 4.
f(1) = 1 + 1 + 4 + 4 = 10 (not a zero).
f(-1) = -1 + 1 - 4 + 4 = 0 (This is a zero)
Therefore (x+1) is a factor of f(x).
Use Synthetic Division.
-1 | 1 1 4 4
-1 0 -4
----------------
1 0 4 0
There is no remainder, therefore
f(x) = (x+1)(x²+4)
Because x² = -4 yields x = 2i, -2i, there are a pair of conjugate complex zeros.
Answer:
All the zeros are -1, 2i, -2i.
Answer:
8. x-1=5
9. x/2=8
Step-by-step explanation:
x is the unknown number
less means subtract
quotient means divide
The radio station that broadcasts more news each hour based on the ratio is radio WMTH.
<h3>How to depict the ratio?</h3>
From the information, radio WMTH schedules 2 minutes of news for every 20 minutes or music. Radio station WILM broadcast 4 minutes of news of every 25 minutes of music.
Therefore, the ratio of radio WMTH will be:
= 10/1 = 10:1
The ratio of Radio station WILM will be:
= 25/4 = 25:4
Learn more about ratio on;
brainly.com/question/2328454
#SPJ1