Step-by-step explanation:
<u>13,789:</u>
Tens: 13,790
Hundreds: 13,800
Thousands: 14,000
Ten thousands: 10,000
<u>24,173:</u>
Tens: 24,170
Hundreds: 24,200
Thousands: 24,000
Ten thousands: 20,000
<u>861,630:</u>
Tens: 861,630
Hundreds: 861,600
Thousands: 862,000
Ten thousands: 860,000
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
the answer is A, sorry if you can't read it quite well