3 years ago

Write the quadratic equation whose roots are 3 and -4, and whose leading coefficient is 5.

Mathematics

1 answer:

ivanzaharov [21]3 years ago

8 0

Answer:

$f(x)=5x^2-5x-60$

Step-by-step explanation:

We know that x=3 is the solution to x-3=0 and x=-4 is the solution to x+4=0, thus:

$f(x)=5(x-3)(x+4)\\\\f(x)=5(x^2-x-12)\\\\f(x)=5x^2-5x-60$

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