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CBSE Class 10 Math 2023 All Sets Solved Paper

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Question : 8 of 20
Marks: +1, -0
If one zero of the polynomial x2+3x+kx^2 + 3x + k is 2, then the value of k.
Solution:  
Given polynomial x2+3x+k=f(x)x^2 + 3x + k = f(x)
Also, given that 2 is one of the zeros of the polynomial.
∴f(2)=0\therefore f(2) = 0
⇒4+6+k=0\Rightarrow 4 + 6 + k = 0
⇒k=−10\Rightarrow k = -10
Hence, the value of k is -10
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