A quadratic function h is [tex]h=x^2+2x-35[/tex].
Quadratic function
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.
- STEP 1 - Multiply the roots by -1.
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]
- STEP 2 - Rewrite the equation
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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