Factor the following trinomial by grouping 9x^3+30x^2+24x

2 answers:

kramer3 years ago

8 0

$9x^3+30x^2+24x \\ \\ gcf = 3x \\ \\ 3x ( \frac{9x^3}{3x} + \frac{30x^2}{3x} + \frac{24x}{3x} ) \\ \\ 3x(3x^2 + 10x + 8) \\ \\ 3x ( 3x^2 + 6x + 4x + 8) \\ \\ 3x(3x(x + 2) + 4(x + 2)) \\ \\ 3x(x + 2)(3x + 4) \\ \\$

The final result is: 3x(x + 2)(3x + 4).

Mumz [18]3 years ago

3 0

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)

You might be interested in

Tysm for the help! <3

Blizzard [7]

By using the given graph:

When x = -2, the value of the function is f(-2) = 1
When x = -0.5, the value of the function is f(-0.5) = 0.75
When x = 0, the value of the function is f(0) = 1.25
When x = 2.5, the value of the function is f(2.5) = 3
When x = 6, the value of the function is f(6) = 0

<h3></h3><h3>How to use the graph to find the values of the function?</h3>

Suppose that we want to find the value of the graphed function when x = a.

Then we first need to identify x = a in the horizontal axis.
Then we move upwards (or downwards) until we meet the curve of the function.
Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.

Now we can do these steps for each of the wanted values.

When x = -2, the value of the function is f(-2) = 1
When x = -0.5, the value of the function is f(-0.5) = 0.75
When x = 0, the value of the function is f(0) = 1.25
When x = 2.5, the value of the function is f(2.5) = 3
When x = 6, the value of the function is f(6) = 0

If you want to learn more about how to read graphs:

brainly.com/question/4025726

#SPJ1

7 0

1 year ago

Find a16 of the sequence 1,6,11,16

babymother [125]

$\bf 1~~,~~\stackrel{1+5}{6}~~,~~\stackrel{6+5}{11}~~,~~\stackrel{11+5}{16}...\qquad \qquad \stackrel{\textit{common difference}}{d=5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=1\\ d=5\\ n=16 \end{cases} \\\\\\ a_{16}=1+(16-1)5\implies a_{16}=1+(15)5\implies a_{16}=76$