if (2x+3) is a factor of the polynomial 18x^3+kx^2-28x+12 then find the value of k.
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2X + 3 = 0
X = -3/2
p ( x ) = 18x³ + kx² - 28x + 2
p (-3/2) = 18 × (-3/2)³ + k × (-3/2)² - 28 × -3/2 + 2
=> 18 × -27/8 + k × 9 /4 - 14 × -3 +1 2
=> 9 × -27/4 + 9k/4 + 42 + 12 = 0
=> -243/4 + 9k/4 + 54 = 0
=> -243 + 9k + 486/4 = 0
=> 9k - 122 = 0
=> k = 122/9
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