Question #34469

1 Answer
Nov 28, 2017

#y=x^2-3x#

Explanation:

#"given a polynomial with zeros " x=a" and "x=b#

#"then factors of polynomial are "(x-a)" and "(x-b)#

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

#y=k(x-a)(x-b)larrcolor(blue)"k is a multiplier"#

#"zeros are "x=0" and "x=3#

#"hence factors are "(x-0)" and "(x-3)#

#rArry=kx(x-3)#

#"in this case let k = 1"#

#rArry=x^2-3xlarrcolor(blue)"polynomial of degree 2"#
graph{x^2-3x [-10, 10, -5, 5]}