The curve \( y=a x^{3}+b x^{2}+c x+8 \) touches \( x \)-axis at \( P(-2,0) \) and cuts the \( y ... VIDEO
The curve \( y=a x^{3}+b x^{2}+c x+8 \) touches \( x \)-axis at \( P(-2,0) \) and cuts the \( y \)-axis at a point \( Q \) where its gradient is 3 . The value of \( a, b, c \) are respectively
(a) \( -\frac{1}{2},-\frac{3}{4}, 3 \)
(b) \( 3,-\frac{1}{2},-4 \)
(c) \( -\frac{1}{2},-\frac{7}{4}, 2 \)
(d) \( \frac{-5}{4},-3,3 \)
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