Question

check whether (x-3) is a factor of x³-2x²-5x+4​

Answer 1

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Step-by-step explanation:

If x+2 is a factor of the above cubic equation then the result after putting the values will be 0

x+2=0

x=-2

\begin{gathered} = x {}^{3} - 2x {}^{2} - 5x + 4 \\ = ( - 2) {}^{3} - 2( -2) {}^{2} - 5( - 2 ) + 4 \\ = - 8 -2 (4) + 10 + 4 \\ = - 8 - 8 + 10 + 4 \\ = - 16 + 10 + 4 \\ = - 6 + 4 \\ = - 2\end{gathered}

=x

3

−2x

2

−5x+4

=(−2)

3

−2(−2)

2

−5(−2)+4

=−8−2(4)+10+4

=−8−8+10+4

=−16+10+4

=−6+4

=−2

The result is not 0 hence it is not the factor of the above equation.

$\bf\pink{\textsf{Answered By MrAkdu}}$