Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression
Answer:
3-,3,0,3
Step-by-step explanation:
Answer: the first, second, and fourth are correct.
Step-by-step explanation:
28-10%=25.2
28-25%=21
28-35%=18.2
Answer:
First we need to express y in this inequality:
-2y > -4x + 20
-y > -2x + 10
y < 2x - 10
The line isn't solid because the "less" sign doesn't include equal in it.
Because the sign is "less than" the shaded part is Below the line.
Merging these 2 conclusion we get the answer:
below the dashed line.
Step-by-step explanation:
