For what value of k is -3 a zero of the polynomial 3x2+4x+2k
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Answered by
9
Answer:
Hence, k = -7. 5
Step-by-step explanation:
Given,
p(x) = 3x^2 + 4x + 2k
And (-3) is the zero of p(x).
So, x = -3
By remainder theorem, we get,
p(-3) = 3 × (-3)^2 + 4 × (-3) + 2k
=> 3 × 9 + (-12) + 2k = 0
=> 27 - 12 + 2k = 0
=> 2k + 15 = 0
=> 2k = -15
=> k = -15/2 = -7.5
Hence, k = -7. 5
Answered by
0
Answer:
3x^2+4x+2k=0
3*-9+4*-3+2k=0
-27+36-2k=0
9-2k=0
-2k=-9
2k=9
k=9/2
Step-by-step explanation:
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