What is the point of factoring

1 answer:

Nadusha1986 [10]3 years ago

6 0

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information. There are a lot of different factoring techniques.

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Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Pr

Olenka [21]

Answer:

a) x^2 + y^2

b) 9-xy

Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

a) The sum of the squares of x and y

The square of x is x^2

The square of y is y^2

The sum of the squares is x^2 + y^2

ii) Product of x and y subtracted from 9

The product of x and y is x * y = xy

Subtracting these from 9, we have;

9-xy

5 0

3 years ago

A dormitory has n students, all of whom like to gossip. one of the students hears a rumor, and tells it to one of the other n −

Alekssandra [29.7K]

Answer:

$P(r)=\frac{(n-3)(n-4)....(n-r)}{(n-2)^{r-2}}$

Step-by-step explanation:

From the question, we have the following condition:

$p_1=p_2=1,\:and\:p_n=0$

We know that each student who hears the rumor tells it to a student picked at random from the dormitory (excluding, of course, himself/herself and the person from whom he/she heard the rumor)

The 3rd student can therefore tell the rumour to n-2 students but only n-3 will accept it.

$\implies p(3)=\frac{n-3}{n-2}$