In an equation, a term is a single number or a variable. in our equation we have the following terms:

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..

We will separate the terms by the exponent value.

For , there is only one term: 

For , there are no terms.

For , there is two terms: 

For , there are two terms: 

For , there are two terms: 

For , there is only one term: 

For , there are two terms: 

For , there are three terms: 

There are four constant terms: 

Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Arrange and combine like terms (those with the same variable) as follows:

Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,  and  are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Step 1: Rearrange the terms from highest power to lowest power. 

We will get: .

Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.

Step 3: Isolate the term.

The second term is 

Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .

So, the answer is .

Step 1: Add the terms based on their similarities...

 and  becomes .

 and  becomes .

 and  becomes 

Step 2: Combine all the terms after "becomes" in step 1...

We add and get: .

Step 1: Subtract these terms by separating by exponents...

Step 2: Add all the simplified terms together...

Step 1: Find the Least Common Denominator of these fraction. We will list out multiples of each denominator until we find a common number for all three fractions...

The smallest common denominator is .

Step 2: Since the denominator is , we will convert all denominators to .

Step 3: Add up all the values of x...

Step 4: The result from step  is the numerator and  is the denominator. We will put these together.

Final Answer: 

A polynomial function with zeroes 3 and 7 has as its factors and . The function is given to be quadratic, so this function is

.

Apply the FOIL method to rewrite the polynomial:

Collect like terms:

,

the correct choice.

In order to solve for the variable, , we need to isolate it on the left side of the equation. We will do this by reversing the operations done to the variable by performing the opposite of each operation on both sides of the equation. 

Let's begin by rewriting the given equation.

Subtract  from both sides of the equation.

Simplify.

Multiply both sides of the equation by .

Solve.