Which of the binomials below is a factor of this trinomial?

Mathematics

1 answer:

inysia [295]3 years ago

6 0

Answer:

5( x+5) (x-2)

Step-by-step explanation:

5x^2 + 15x -50

Factor out a 5

5(x^2 +3x - 10)

What 2 terms multiply to -10 and add to 3

5*-2 = -10

5-2 = 3

5( x+5) (x-2)

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Solve the system using substitution x+5y=0 3y+2x=-21

Crazy boy [7]

Answer:

$\left \{ {{x = -15} \atop {y=3}} \right.$

Step-by-step explanation:

$\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\ \left \{ {{x = -5y } \atop {-7y = -21}} \right. \left \{ {{x = -5y} \atop {y= 3 }} \right. \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.$