Given the function: f(x) = 5x3+8x2−7x−6 using the rational root theorem, name 4 possible roots of the function and show or describe how you found them.

±1/5, ±2/5, ±3/5, ±1, ±6/5, ±2, ±3, ±6

Step-by-step explanation:

The rational root theorem tells you possible rational roots are ...

... ±(divisor of the constant term) / (divisor of the highest-degree term coefficient)

The constant term, -6, has divisors ±1, ±2, ±3, ±6. The coefficient of the highest degree term, 5, has divisors ±1, ±5. Possible ratios of these values are listed above.

Roots of this Function

The coefficients sum to zero, so x=1 is a root. Factoring out (x-1) leaves a factor of 5x² +13x +6, which can be factored as (x+2)(5x+3). Hence the roots are -2, -3/5, +1 — all on the list of possible rational roots.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

8/k

step-by-step explanation: