Using the rational root theorem, name 4 possible roots of the function and show or describe how you found them. f(x) = 5x^3+8x^2−7x−6

The possible roots are and the real roots of the function are  .

Explanation:

If a polynomial is defined as,

Then all possible rational roots are in the form of,

Where p is the factors of and q is the factor of .

The given function is,

It the given function the constant term is -6 and the leading coefficient is 5.

Factor of -6 are,

Factors of 5 are,

So the all possible rational roots are,

From these value the roots of the function are those values for which the value of the function is 0.

Put all the possible zeros one by one in the function.

Only for , the value of function is 0, so the roots of the function are .

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

126 maybe. sorry