9514 1404 393
Answer:
p(x) = x³ -3x²+4x -2
Step-by-step explanation:
When the polynomial has real coefficients, the complex roots come in conjugate pairs. You are given one root as 1+i, so there is another that is 1-i.
Each root r gives rise to a factor (x -r). Then the three roots tell you the factorization is ...
p(x) = (x -1)(x -(1+i))(x -(1-i))
The last two factors can be recognized as the factors of the difference of squares:
((x -1) +i)((x -1) -i) = (x -1)² -i²
= (x² -2x +1) -(-1) = x² -2x +2
Now the whole polynomial can be seen to be ...
p(x) = (x -1)(x² -2x +2) = x(x² -2x +2) -1(x² -2x +2)
p(x) = x³ -2x² +2x -x² +2x -2 . . . . eliminate parentheses
p(x) = x³ -3x²+4x -2
Answer:
gay people can't get married in some countries
Step-by-step explanation:
Answer:
2.0111 × 100 square kilometers (km²)
The equation of the line passing through the points 
and 
is
. Here 
is the slope of the line.
Substituting numerical values,
The equation of the line in standard form is 
.
I think it's to late, but...
Just turn the second equation into y equals mx plus b form
Then graph both equations
Pretty easy so far
After graphing them, you just have to find where they intersect, and that is your answer.
If they're parrallel, then there is no solution.
If it's the same line, then it's many solutions.
HOPE THIS HELPED
