SAMANTHACABRIAS25idn
Answered

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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 :

AGboiiidn

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]