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Fynjy0 [20]
3 years ago
14

Can I get some help on 15-20 please

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

cant see the picture sorry


Step-by-step explanation:


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Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
3 years ago
Read 2 more answers
Pick the pair of lines that is perpendicular: a. Y = -2/3x + 7 b. Y = 2/3x - 7 c. 4x+ 6y = 12 d. 9x - 6y = 27
Llana [10]

Answer:I think the pair that is perpendicular is

Y=2/3x

6 0
2 years ago
Which is the decimal expansion of 7 Over 22
Fed [463]

Answer: 0.31

Step-by-step explanation:

7/22 is 0.31

6 0
3 years ago
Read 2 more answers
How many triangles can be formed with segments measuring 4. 7 m, 1. 6 m, and 2. 9 m? none one more than one.
Svet_ta [14]

The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

1.6 + 2.9 \ngtr  4.7

We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.

Hence, none of the triangles is formed.

Thus, option A is correct.

More about the triangle link is given below.

brainly.com/question/25813512

4 0
2 years ago
Find the slope of the line containing the pair of points.<br> ​(6​,5​) and ​(​0,​0)
GarryVolchara [31]

Answer: 5/6

Step-by-step explanation:

Use slope formula of y2-y1/x2-x1. So here it doesn’t matter which is which so I did (6,5) x1 and y1 and (0,0) x2 and y2

So plugging it in it would be 0-5/0-6 = -5/-6 which simplifies to 5/6

7 0
1 year ago
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