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04-08-2021
Mathematics

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Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

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wegnerkolmp2741o wegnerkolmp2741o

04-08-2021

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

= 2(x^2 -2x+4x-8)

= 2(x^2 +2x-8)

= 2x^2 +4x-16

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