7.Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
(a) 1 (b) -1 (c) 5 (d) 3
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Answers
Answered by
1
Answer:
take
(x+2)(x+3)
x^2+3x+2x+6
x^2+5x+6
.
.
x^2+kx+6=x^2+5x+6
kx=5x
k=5
Answer
Answered by
2
Answer:
Correct option is C)
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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