Answer:
satisfy both equations
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>.
It would be c because 1 cm. is equal to 10 mm
Answer:
the price per cup is $4.64
Step-by-step explanation:
so 1 gallon is 4 cups and so what you do is 4×3=12 then divide 12 to $55.68 and you'll get $4.64 and if you wanna double check just do $4.64×12 then divide 12 by 3 and you'll get 4 cups that which equal a gallon