Answer:-14, -26
Step-by-step explanation:
13-4=9
4-9=-5
From here you can see that the pattern is -9
-5-9=-14
23. is -14
16-2=14
2-14=-12
From here you can see that the pattern is -14
-12-14=-26
24. is -14
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
Here's a rough graph haha
the graph has a factor of 4/1 (considered the "slope"), and the vertex is translated 2 units to the right (whatever is in the | lines | has the negative/positive flipped), and 6 units down.
The answer is 240 :3
60+60= 120
120+60 = 180
and 60 more would be 240
60 fours would be 240
3 60's would be 180. So your answer is 240
The answer is 67 because 67 x 82 is 5,494 which us close to 5,514
