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

a. x^3 – 2x^2 + 13x – 10 = 0
b. x^3 – 4x^2 + 17x + 10 = 0
c. x^3 + 2x^2 – 13x + 10 = 0
d. x^3 + 6x^2 – 3x + 10 = 0

Respuesta :

Luv2Teach

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) = [tex]x^2--2x-1x+2[/tex]

Combine like terms to get

[tex]x^2-3x+2[/tex]

Now FOIL that with the last factor to get

[tex]x^3-3x^2+2x+5x^2-15x+10[/tex]

Combine like terms to get

[tex]x^3+2x^2-13x+10=0[/tex], which is choice C

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