Figure shows the graph of the polynomial f(x) = ax2 + bx + c for whic

1.	Figure shows the graph of the polynomial f(x) = ax2 + bx + c for whichA. a < 0, b > 0 and c > 0B. a < 0, b < 0 and c > 0C. a < 0, b < 0 and c < 0D. a > 0, b > 0 and c < 0
Answer» As seen from the graph, The parabola cuts the graph at two points on the x axis. One root is positive & one root is negative. Now, for a polynomial, the sum of roots is given as: α + β = -b/a Also, the product of roots = c/a is positive. Because c is positive, ⇒ a is negative & b is negative. Therefore, option (b) is correct.

Figure shows the graph of the polynomial f(x) = ax2 + bx + c for whichA. a < 0, b > 0 and c > 0B. a < 0, b < 0 and c > 0C. a < 0, b < 0 and c < 0D. a > 0, b > 0 and c < 0

Answer»

As seen from the graph,

The parabola cuts the graph at two points on the x axis.

One root is positive & one root is negative.

Now, for a polynomial, the sum of roots is given as:

α + β = -b/a

Also, the product of roots = c/a is positive.

Because c is positive,

⇒ a is negative & b is negative.

Therefore, option (b) is correct.