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

1 Answer
Dec 8, 2017

Answer:

#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"#