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13-02-2022
Mathematics

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Write the quadratic equation whose roots are 3 and -4, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)

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13-02-2022

Answer:

[tex]f(x)=5x^2-5x-60[/tex]

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:

[tex]f(x)=5(x-3)(x+4)\\\\f(x)=5(x^2-x-12)\\\\f(x)=5x^2-5x-60[/tex]

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