Question

Write a polynomial in standard form with zeros 1, 2, and −5.

Answer 1

Answer:

Step-by-step explanation:

First thing you have to do is write those zeros into factors.  If

x = 1, then its factor is (x - 1).  If

x = 2, then its factor is (x - 2).  If

x = -5, then its factor is (x + 5).

Now we FOIL them all together, starting with the first 2:

(x - 1)(x - 2) = $x^2--2x-1x+2$

Combine like terms to get

$x^2-3x+2$

Now FOIL that with the last factor to get

$x^3-3x^2+2x+5x^2-15x+10$

Combine like terms to get

$x^3+2x^2-13x+10=0$, which is choice C