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Answer is (c)k=5
Step-by-step explanation:
2x+kx+6=(x+2)(x+3)
2x+kx+6=x^2+5x+6
X(2+k)+6-6=x(x+5)
X(2+k)=x(x+5)
2+k=x+5
By comparison
2=x
K=5
OR
Given: x
2
+kx+6=(x+2)(x+3) for all values of x
To find the value of k
Sol: x
2
+kx+6=(x+2)(x+3)
⟹x
2
+kx+6=x(x+3)+2(x+3)
⟹x
2
+kx+6=x
2
+3x+2x+6
⟹x
2
+kx+6=x
2
+5x+6
Equating both sides in the above condition we get,
The value of k=5
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