If (x - 3) is a factor of the polynomial (2x^2+ x + k), find k.
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Answer: k = -21
Step-by-step explanation:
x - 3 is a factor
=> x - 3 = 0
=> x = 3 ------- (i)
Now substituting the value of x in the polynomial, we get -
p(x) = 2x² + x + k
=> 2(3)² + (3) + k = 0 (since x-3 is a factor)
=> 2(9) + 3 + k = 0
=> 18 + 3 + k = 0
=> 21 + k = 0
=> k = -21
Therefore the value of k is -21
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