Let f(x) = mx^2 + 2x + 5 and g(x) = 2x^2 - nx - 2. The functions are combined to form the new function h(x) = f(x) X g(x). Points (1,-40) &... (-1,24) satisfy the new function. Determine f(X) and g(x).

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`f(x)= mx^2 + 2x + 5`

`g(x)= 2x^2 - nx -2`

`h(x)= f(x) X g(x)= (mx^2 + 2x +5)(2x^2-nx -2) `

`h(1)= (m+2+5)(2-n-2) = -40 ==> (m+7)(-n)= -40`

`==>(m+7)(n) =...

(The entire section contains 83 words.)

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