Question

Find the polynomial function with roots 1, –2, and 5.
help me please

Answer 1

start with
\[(x-1)(x+2)(x-5)\] and multiply out

Answer 2

(x-1)(x+2)(x-5)
=(x^2+x-2)(x-5)
=x^3+x^2-2x-5x^2-5x+10
=x^3-4x^2-7x+10

Answer 3

if we are given roots say a, b and c. The polynomial will be (x-a)(x-b)(x-c)
here the roots are 1, -2 and 5
(x-1)(x+2)(x-5)
\[(x^2+x-2)(x-5)\]
\[x^3+x^2-2x-5x^2-5x+10\]
combine like terms
\[x^3-4x^2-7x+10\]

Answer 4

Thank you so much you guys!<3