Issolvi f(x)=2a^3-a^2-7a+6 | Microsoft Math Solver

Fattur

Evalwa

Kwizz

Polynomial

5 problemi simili għal:

Problemi Simili mit-Tiftix tal-Web

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https://socratic.org/questions/how-do-you-evaluate-the-function-f-x-2x-3-x-2-4x-9-for-x-3

https://socratic.org/questions/how-do-you-determine-if-rolles-theorem-can-be-applied-to-f-x-2x-3-x-2-8x-4-on-th

https://socratic.org/questions/how-do-you-find-the-exact-relative-maximum-and-minimum-of-the-polynomial-functio-24

Sehem

Ikkupjat fuq il-klibbord

\left(2a-3\right)\left(a^{2}+a-2\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 6 u q taqsam il-koeffiċjent prinċipali 2. Għerq wieħed bħal dan huwa \frac{3}{2}. Iffatura l-polynomial billi timmultiplika b'2a-3.

p+q=1 pq=1\left(-2\right)=-2

Ikkunsidra li a^{2}+a-2. Iffattura l-espressjoni bl-iggruppar. L-ewwel, l-espressjoni teħtieġ tinkiteb mill-ġdid bħala a^{2}+pa+qa-2. Biex issib p u q, ikkonfigura sistema biex tiġi solvuta.

p=-1 q=2

Minħabba li pq huwa negattiv, p u q għandhom sinjali opposti. Minħabba li p+q huwa pożittiv, in-numru pożittiv għandu l-valur assolut akbar min-negattiv. L-uniku par bħal dawn huwa s-soluzzjoni tas-sistema.

\left(a^{2}-a\right)+\left(2a-2\right)

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

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

Fattur a fl-ewwel u 2 fit-tieni grupp.

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

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

\left(2a-3\right)\left(a-1\right)\left(a+2\right)

Erġa' ikteb l-espressjoni ffatturata kompluta.