What is the polynomial equation that has solutions -2, 1, and 4?

1 Answer
Aug 4, 2017

#x^3-3x^2-6x+8#

Explanation:

#"since the roots are"#

#x=-2,x=1" and " x=4#

#"then the factors are"#

#(x+2),(x-1)" and " (x-4)#

#"a possible polynomial is"#

#y=(x+2)(x-1)(x-4)#

#color(white)(y)=x^3+(2-1-4)x^2+(-2+4-8)x+2(-1)(-4)#

#color(white)(y)=x^3-3x^2-6x+8#