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>.
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are:
Answer:
$3.75
Step-by-step explanation:
Given:
Natalie buys a cooper wire that is 3 feet long.
The cost of the wire is $1.25 per foot.
Question asked:
What is the total cost, in dollars, of Natalie's wire?
Solution:
<u>By unitary method:</u>
Total length of wire = 3 feet
Each foot of wire cost = $1.25
3 feet of wire cost = $1.25
3 = $3.75
Thus, total cost of wire is $3.75
I hope I help, the answer should be -120 if I'm. Correct