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2. Polynomials
easy
$p(x)$ ને $g(x)$ વડે ભાગતાં શેષ પ્રમેયની મદદથી મળતી શેષ શોધો.
$p(x)=x^{3}-6 x^{2}+2 x-4, \quad g(x)=1-\frac{3}{2} x$
A
$\frac{-136}{27}$
B
$\frac{-126}{27}$
C
$\frac{-125}{27}$
D
$\frac{-150}{51}$
Solution
$g(x)=0 \quad \Rightarrow 1-\frac{3}{2} x=0 ; x=\frac{2}{3}$
Remainder $p\left(\frac{2}{3}\right)=\frac{8}{27}-\frac{24}{9}+\frac{4}{3}-4$
$=\frac{8-72+36-108}{27}=\frac{-136}{27}$
Standard 9
Mathematics