Shashallyidn
Answered

Suriin ang malawak na saklaw ng mga paksa sa IDNStudy.com. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

What's the remaining zeros of polynomial function, p(x)=x^3+5x^2-2x-24 and x sub 1 is 2. Please I really need your correct and quick responses. Ciao! :)

Sagot :

Shinalcantaraidn
You're given with the polynomial function,
p(x) = x³ + 5x² - 2x - 24 
and that x1 = 2
knowing that one root is 2 then you can say that the polynomial is having a factor of (x-2).
Since you are asked for the zeros then we'll have it as
0 = x³ + 5x² - 2x - 24
dividing the polynomial with the factor (x-2) you will have
[tex] \frac{x^3 + 5x^2 -2x - 24}{x-2} = x^2 + 7x + 12[/tex]
or you'll have the factors as
(x - 2)(x² + 7x + 12) = 0
factoring the quadratic expression you'll have:
(x - 2)(x + 3)(x + 4) = 0
so you'll have the zeros as:
x - 2=0
x = 2
x + 3 = 0
x = -3
x + 4 = 0
x = -4
Ang iyong kontribusyon ay napakahalaga sa amin. Patuloy na magbahagi ng impormasyon at kasagutan. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. May mga katanungan ka? Ang IDNStudy.com ang may sagot. Salamat sa iyong pagbisita at sa muling pagkikita.