A quadratic function h is [tex]h=x^2+2x-35[/tex].
The quadratic function can be represented by quadratic equation in the Standard form: [tex]ax^2+bx+c=0[/tex], where a,b and c are your respective coefficients.
When you have the both root of this function, you can convert these roots in factors. After that, you should rewrite the equation.
The given roots are: [tex]x_1=5[/tex] and [tex]x_2=-7[/tex]
Multiplying by -1
[tex]x_1=-5[/tex] and [tex]x_2=7[/tex]
Express the equation in factors using the roots
[tex]h=(x-5) * (x+7)\\ \\ h=x^2+7x-5x-35\\ \\ h=x^2+2x-35[/tex]
Therefore, [tex]h=x^2+2x-35[/tex].
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