Question

How do you write a polynomial equation of least degree given the roots -5,7?

Answer 1

`y=x^2-2x-35`

Explanation:

`"given the roots are "x=-5" and "x=7`

`"then the factors are "(x+5)" and "(x-7)`

`"the polynomial is then the product of the factors"`

`rArry=(x+5)(x-7)`

`color(white)(rArry)=x^2-2x-35larrcolor(red)" of degree 2"`