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Write a quadratic function h whose zeros are 5 and -7

Sagot :

lhannearaujo

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].

Read more about quadratic funtion here:

https://brainly.com/question/15807688

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