We can write this as:-
P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.
P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.
125 is a multiple of 5 so By rational root theorem 5 could be a positive root.
P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0
x = 5,-5
so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero
Answer:
135
Step-by-step explanation:
My method 45 hours - 1 so i could divide by 2 because its 2 hours every 6 problems and 1 hour would be 3 math problems we can add that to the total
44 / 2 = 22, 22 * 6 = 132, 132 + 3 = 135
Alternate method
45 * 3 = 135
Answer:
A (3/2, 9/2)
Step-by-step explanation:
Let's take the first solution which is (3/2 , 9/2). If we substitute 3/2 into x we get the equation (3/2)^2 we get y as 9/4 not 9/2, therefore (3/2 , 9/2) does not lie on the curve y = x^2
Answer:
Slope = 2
Step-by-step explanation: