1.

फैक्टराइज दुबई होल स्क्वायर प्लस 11 प्लस 5 इन इंग्लिश​

Answer»

Factortheorem:

If p(x) is a polynomial of degree n≥ 1 and "a" is any real NUMBER, then

(x-a) is a factor of p(x) , if p(a) = 0.

________________________

Let \:p(x) = x^{3} - 6x^{2} + 11x - 6Letp(x)=x

3

−6x

2

+11x−6

\begin{GATHERED}i )Let \: x = 1\\ \IMPLIES p(1) = 1^{3}-6\times 1^{2}+11\times 1 -6 \\= 1 - 6 + 11 - 6 \\= 12 - 12 \\= 0\end{gathered}

i)Letx=1

⟹p(1)=1

3

−6×1

2

+11×1−6

=1−6+11−6

=12−12

=0



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