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EleoNora [17]
1 year ago
12

Question 17 of 25

Mathematics
1 answer:
AlexFokin [52]1 year ago
4 0

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

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The factors of x cube -10x square -53x-42
Verdich [7]

Answer:

<em><u></u></em>x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)<em><u></u></em>

Step-by-step explanation:

 x^3 - 10x^2 -53x - 42

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

<u>Using trial and error method we will find the first root of the polynomial.</u>

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

<u>Now by long division or by using synthetic division we can find other factors.</u>

<u>Synthetic Division :</u>

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)  ------ ( 1 )

<u>Next further factorize x² - 11x - 42</u>

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)

4 0
2 years ago
Find the value of x. Give reasons to justify your solution-
weqwewe [10]

Answer:

x =27

Step-by-step explanation:

from Z angls rule  the agle (BDE) =72

and total angl on D =180

so, 2x +2x+72=180

4x = 180 -72

4x = 108 (divied both sides by 4)

x= 27

6 0
2 years ago
Read 2 more answers
Tell me the y-intercept of the line: 2x - 3y = 9
butalik [34]

Answer:

y-intercept: (0,-3)

Step-by-step explanation:

  • Y-intercepts mean that the x-value has to be equal to 0. When plugging in 0 for the x-value, we receive:

  • 2(0)-3y=9\\0-3y=9\\-3y=9\\y=\frac{9}{-3} \\y=-3

  • Therefore, the point is (0,-3).
6 0
2 years ago
Read 2 more answers
Write 58 1/2 in radical form
Natalija [7]
58^(1/2) is √58 if that is what you meant
4 0
3 years ago
What is the area in square feet of the part of the floor that is not covered by the rug
ohaa [14]
Can you please add a picture of the problem or type all the measurements and information? 
5 0
3 years ago
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