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Question
If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?
Solution
If graph of quadratic polynomial `f(x)=ax^2 + bx + c` cuts positive direction of y−axis, then
Put x = 0 for the point of intersection of the polynomial and y−axis
We have `y = 0+0+c+c`
Since the point `(0,c)` is above the x-axis
Hence, the sign of c is positive, that is `c > 0`
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