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2. Polynomials
easy
જો બહુપદી $2 x^{2}+k x$ નો એક અવયવ $x + 1$ હોય, તો $k$ ની કિંમત ........ છે.
A
$2$
B
$-3$
C
$4$
D
$-2$
Solution
Let $p(x)=2 x^{2}=k x$
If $x+1$ is a factor of $p(x),$ then by factor theorem $p(-1)=0$
Now, $\quad p(-1)=0 \Rightarrow 2(-1)^{2}+k(-1)=0$
$\Rightarrow \quad 2-k=0 ; k=2$
Hence, $(a)$ is the correct answer.
Standard 9
Mathematics
