True or False

If the graph of quadratic polynomial *ax*^{2} + *bx* + *c* cuts negative direction of *y*-axis, then what is the sign of *c*?

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#### Solution

Since graph of quadratic polynomial `f(x)= ax^2 + bx + c`cuts negative direction of *y*−axis

So put *x*=0 to find the intersection point on y-axis

` y = 0 + 0 + c +c `

So the point is `(0 , c)`

Now it is given that the quadratic polynomial cuts negative direction of *y*

So `c < 0`

Concept: Concept of Polynomials

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