The sum of two numbers is 136. One number is 51. What is other? What are the common factors of these two numbers?

Determine whether the following problem involves a permutation or a combination and explain your answer. How many different -le

Alex_Xolod [135]

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

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3 years ago

2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

Ira Lisetskai [31]

Solution: The factor form of the given polynomial is $f(x)=(x+4)(x+3)(x+2)(x+1)$ .

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for $x=-1$ , therefore $(x+1)$ is a factor of given function.

Use synthetic method to divide the given polynomial for by $(x+1)$ . Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So $f(x)=(x+1)(x^3+9x^2+26x+24)$