for what value of k ,is 3 a zero af the polynomial 2x^2+x+k
Answers
Answered by
1
Answer:
K = - 21
Step-by-step explanation:
2x^2 + x + k = 0, for x = 3
2(3)^2 + 3 + k = 0
2(9) + 3 + k = 0
18 + 3 + k = 0
k + 21 = 0
k = - 21
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Answered by
0
Answer:
Thus, for k = -21, 3 is a zero of the polynomial.
Step-by-step explanation:
The polynomial is :
2x² + x + k
Suppose, 3 is zero of polynomial for some value of k, then
2x² + x + k = 0
∴2(3)² + 3 + k = 0 (Putting x = 3)
∴2*9 + 3 + k = 0
∴18 + 3 + k = 0
∴21 + k = 0
∴k = -21
Thus, for k = -21, 3 is a zero of the polynomial.
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