All categories

2 years ago

Factor completely x3 − 2x2 − 8x 16. (x 2)(x2 8) (x − 2)(x2 8) (x 2)(x2 − 8) (x − 2)(x2 − 8).

Mathematics

1 answer:

dybincka [34]2 years ago

8 0

Answer:

D) (x - 2)(x² - 8)

Step-by-step explanation:

Separate the polynomial into two groups of two terms and factor out the common value from each group. If the values factored out from each group are the same, then you can use the grouping method. The factors will be the outside terms and the common factor.

x³ - 2x² + -8x + 16

= x²(x - 2) + -8(x - 2)

= (x² - 8)(x - 2)

You might be interested in

CAN ANYONE ANSWER THIS CORRECTLY???

Alisiya [41]

B, D, E are appropriate choices.

_____
A ray can be named by its (one) end-point and any other point on the ray. Since there are an infinite number of points on the ray, it can be named an infinite number of ways.

4 0

3 years ago

Add and reduce 2/7+ 16/21=

max2010maxim [7]

Answer:

6/7

Step-by-step explanation:

8 0

3 years ago

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is