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laiz [17]
3 years ago
5

Use the grouping method to factor x3 + x2 + 2x + 2.

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

D)Factors are (x +1) ( x² +2) .

Step-by-step explanation:

Given :  x³ + x² + 2x + 2.

To find : Use the grouping method to factor .

Solution : We have given  x³ + x² + 2x + 2.

On taking common x² from first two term and 2 from last two terms.

x² ( x + 1) + 2( x +1).

On grouping.

(x +1) ( x² +2) .

Therefore, D )Factors are (x +1) ( x² +2) .

NISA [10]3 years ago
4 0
Therefore the answer is D. (x + 1)(x2 + 2)

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PLEASE HELP, BEEN STUCK FOR AN HOUR
djverab [1.8K]

Answer:

Step-by-step explanation:

To sketch a quadratic function we need two things:

1)  Nature of the curve

2) Vertex

3) y-intercept

The completing square form of the quadratic equation is:

y=a(x-h)^2+k

where,

a represents the nature of the graph it can be maximum or minimum , meaning, if a > 0 then minimum(u shaped curve/happy face) and if a < 0 then maximum(n shaped curve/sad face).

h represents the x-coordinate of the vertex.

k represents the y-coordinate of the vertex.

Now if we compare g(x) with our completing square form we get the following:

g(x)=(x-4)^2+12\\y=a(x-h)^2+k\\

When we simply compare the following we get ,

a = 1 , which means a > 0 since 1 is greater than 0 the nature of the curve will be minimum(happy face/u shaped)

h = 4, which means the x-coordinate of the vertex is 4

k = 12, which means the y-coordinate of the vertex is 12

Now we have the nature of the curve, we have the vertex now all we need is the y-intercept.

For y-intercept:

For y-intercept meaning at which point will the graph cross the y-axis(0 , y)

For that we expand the formula and turn it into the standard quadratic equation form by using the formula (a - b)^2

y=(x-4)^2+12\\y=((x)^2-2(x)(4)+(4)^2)+12\\y=x^2-8x+16+12\\y=x^2-8x+28\\

now we compare with the standard quadratic form:

y=ax^2+bx+c

here c is the y-intercept and while comparing we can see that c = 28 ,

so the curve cuts the y-axis at (0 , 28)

So we have all the three things that we need to graph our function.

So we just plot the y-intercept , the vertex , and join the dots. Just a tip draw a dotted line on the x-coordinate of the vertex because the vertex point is also called as a turning point where the graph goes in the opposite direction just like a mirror reflection. I attached 2 images you can check them out. One is handmade(i know i suck at drawing but still xD) , one is sketched by online graphing calculator.

5 0
3 years ago
HELP ASAP!!!!!!!! PLSSSSSSS HURRY!!!
tamaranim1 [39]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
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X - y = 5 in slope intercept form is y = x - 5
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What is the measurement for &lt;8?<br> A:108<br> B:98<br> C:252<br> D: 37.4
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Answer:

c is a answer

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9. What type of transformation is shown?
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