Consider the given polynomial p(x)=30 29x - 7x^2+5x^3 + x* .4 list all possible rational roots, and factor the given polynomial

x=2, x=1, x=-5 and x=-3.

Step-by-step explanation:

Let's find the answer using the following method.

Original equation:

Notice that the constant term is 30, which can be divided by:

1, -1, 2, -2, 3, -3, 5, -5, 6, -6, 10, -10, 15, -15, 30, -30.

Trying this divisors can allowed us to find one or even two initial roots, so:

Trying first x=1, we have:

notice that x=1 is a root.

Let's try now with x=2, we have:

notice that x=2 is also a root.

So the original equation can be written as:

so:

Doing the math, we have:

now:

now:

which means:

Using the equation for calculating the roots of a quadratic equation we have:

quadratic equation:

So finally we have:

In conclusion the roots are: x=2, x=1, x=-5 and x=-3.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.