If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
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4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
Answer................:8x^2-2x-1
Answer:
3 times
Step-by-step explanation:
She has 1 1/2 hour to spend in the gym.
1 hr = 60 minute
1/2 of an hour
= 1/2 * 60
= 30 minutes.
In total, she spends 90 minutes in the gym.
If 1/3 of an hour is meant in running, it translates into;
1/3 * 60 = 20 minutes
If 1/6 of an hour is spent in weight-lifting, it translates into;
1/6 * 60 = 10 minutes
In total, she spends,
20 minutes + 10 minutes = 30 minutes for both activities.
To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.
= 90 minutes/30 minutes
= 3 times for each cycle.
