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lys-0071 [83]
2 years ago
11

Write a polynomial equation with integer coefficients that has the given roots. x = -8, x = 7

Mathematics
1 answer:
alukav5142 [94]2 years ago
6 0

Answer:

x²+x-56

Step-by-step explanation:

If x=-8 and x=7 are the roots then x+8 and x-7 are the factors. Find the product of the factors to obtain the polynomial.

(x+8)(x-7)

x²-7x+8x-56

x²+x-56

Similarly,we could use Vieta's formula

x²-(sum of roots)x+(product of roots)

x²-(-8+7)x+(-8×7)

x²-(-1)x+(-56)

x²+x-56

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Write two ways to group and add 2+3+4
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1. 5+4
2. 7+2

The answer is 9.

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3 years ago
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If m x=49, y =41<br> x=90, y=49<br> x=90 y=41<br> x=41 y=49
a_sh-v [17]

Answer:

90

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4 0
2 years ago
Can someone explain this to me?<br><br> Please solve step by step. I don't know how to do this.
ololo11 [35]
Given,


y = -3x+1 (EQ1)
y = 2x-4 (EQ2)


Equate EQ1 and EQ2

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6 0
3 years ago
An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
3 years ago
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