IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Ang aming komunidad ay nagbibigay ng eksaktong sagot upang matulungan kang maunawaan at malutas ang anumang problema.

What polynomial equation with interger coefficients that has the following roots, -2, 1, -3?

A. x³- 11x - 6
B. x³ + 11x + 6
C. x³ - 6x² - 11x - 6
D. x³ + 6x² + 11x + 6

Paki sagot po.. salamat^•^​


Sagot :

SOLUTION

x = -2 , x + 2 = 0

x = 1 , x - 1 = 0

x = -3 , x + 3 = 0

Multiplying the binomials to get the polynomial equation we get:

[tex](x + 2)(x - 1)(x + 3) \\ (x^{2} +2 x - x- 2)(x + 3) \\ ( {x}^{2} + x - 2)(x + 3) \\ ( {x}^{3} + 3 {x}^{2} + {x}^{2} + 3x - 2x - 6) \\ \blue{ ({x}^{3} + 4 {x}^{2} + x - 6)}[/tex]

Amongst the option above , they are all wrong.

[tex] \overbrace{ \underbrace{ \tt{} \purple{ \: \: Stay \: safe \: and \: God \: bless \: you! \: \: }}}[/tex]