Answer:d
Step-by-step explanation:
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
Question 4- is 32.25
question 5- is 12.4
question 6 -is 14/17
question 7 - is 10.7
9514 1404 393
Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation
