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ICE Princess25 [194]
3 years ago
9

Factor the polynomial completely given that -2 is a zero. You must show the division of the polynomial, the new quadratic to be

factored and all three final factors of this polynomial.
f(x)=x^2+3x^2-10x-24
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0
(x^2+3x^2-10x-24)/(x+2)
(4x^2-10x-24)/(x+2)
4x^2-10x-24=0
2x^2-5x-12=0
2x^2-5x-12/(x+2)
2x=(2x^2-5x)-(2x^2+4x)>>-9x-12
2x-9=(-9x-12)-(-9x-18)
2x-9=6
4x-18=12>>4x-6
(x-4)(2x+3) is the factorization
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Answer:

The answer to your question is There were sold 166 adult tickets and 294

                                                     children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

              a + c = 460                    Equation l

         52a + 26c = 16276             Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

             a = 460 - c

-Substitute a in equation ll

         52(460 - c) + 26c = 16276

-Expand

         23920 - 52c + 26c = 16276

-Simplify

                     -26c = 16276 - 23920

                     -26c = -7644

                          c= -7644/-26

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3.- Find a

                        a = 460 - 294

                        a = 166

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