Question

How do you find a polynomial function that has zeros -4, 5?

Answer 1

`p(x)=x^2-x-20`

Explanation:

`"given the zeros of a polynomial "x=a" and "x=b`

`"then the factors of the polynomial are "`

`(x-a)" and "(x-b)`

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

`rArrp(x)=k(x-a)(x-b)larrcolor(blue)"k is a multiplier"`

`"here "a=-4" and "b=5`

`rArr(x+4)" and "(x-5)" are the factors"`

`rArrp(x)=k(x+4)(x-5)`

`"let "k=1`

`rArrp(x)=x^2-x-20" is a possible polynomial"`