Issolvi Q(x)=-x^3+3x-2 | Microsoft Math Solver

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Sehem

Ikkupjat fuq il-klibbord

\left(x+2\right)\left(-x^{2}+2x-1\right)

Skont it-Teorema tar-Radikali Razzjonali, ir-radikali razzjonali kollha tal-polynomial huma fil-forma \frac{p}{q}, fejn p taqsam il-terminu kostanti -2 u q taqsam il-koeffiċjent prinċipali -1. Għerq wieħed bħal dan huwa -2. Iffatura l-polynomial billi timmultiplika b'x+2.

a+b=2 ab=-\left(-1\right)=1

Ikkunsidra li -x^{2}+2x-1. Iffattura l-espressjoni bl-iggruppar. L-ewwel, l-espressjoni teħtieġ tinkiteb mill-ġdid bħala -x^{2}+ax+bx-1. Biex issib a u b, ikkonfigura sistema biex tiġi solvuta.

a=1 b=1

Minħabba li ab huwa pożittiv, a u b għandhom l-istess sinjal. Minħabba li a+b huwa pożittiv, a u b huma t-tnejn pożittivi. L-uniku par bħal dawn huwa s-soluzzjoni tas-sistema.

\left(-x^{2}+x\right)+\left(x-1\right)

Erġa' ikteb -x^{2}+2x-1 bħala \left(-x^{2}+x\right)+\left(x-1\right).

-x\left(x-1\right)+x-1

Iffattura ' l barra -x fil- -x^{2}+x.

\left(x-1\right)\left(-x+1\right)

Iffattura 'l barra t-terminu komuni x-1 bl-użu ta' propjetà distributtiva.

\left(x-1\right)\left(-x+1\right)\left(x+2\right)

Erġa' ikteb l-espressjoni ffatturata kompluta.