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If the Graph of Quadratic Polynomial Ax2 + Bx + C Cuts Negative Direction of Y-axis, Then What is the Sign of C? - Mathematics

True or False

If the graph of quadratic polynomial ax2 + 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`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 41 | Page 61
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