Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
Answer:
The pool can hold 3,136 cubic feet of water
Step-by-step explanation:
To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.
The formula for volume is L*W*H (length times width times height)
Let's multiply!
28*16*7=3136
Answer:
you'll look back on this and say how easy this is you got it. but for today the bottom one is (3,0) the middle one is (2,3) and the top one is (4,4)
Answer:
it would be b
Step-by-step explanation:
Answer:
-3, -2, -1, 3/2, 3.5
Step-by-step explanation: