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
X would equal 58.67 degrees (rounded) if you want to know the steps just comment
Answer:
on the second one
Step-by-step explanation:
Answer:
a = -0.5
Step-by-step explanation:
Answer:
The slope is one.
Step-by-step explanation:
You can use the formula (y1-y2)/(x1-x2). Plugging in the points, it would be
(-1-1)/(-2-0) which simplifies to -2/-2, then just 1. You can also make a graph if you really aren't sure whether you did the problem right or make the full equation and plug the points in to make sure it checks out. :) Hope that helps?
