Question

If a graph of tao degree polynomials does not intersect x-axis and that of a 3 degree polynomial intersects at one point. The ratio if number of non real roots of 2 degree polynomials to that of 3 degree polynomial is..???

Answer 1

Given:

A two degree polynomial does not intersect the x axis.

A 3 degree polynomial intersects x axis at one point.

To Find:

The ratio if number of non real roots of 2 degree polynomials to that of 3 degree polynomial.

Solution:

For any polynomial plotted on X-Y graph, the zeroes of the polynomial is that real values of x for which f(x) intersect x axis ie, y = 0.

• 2nd degree polynomial does not intersect x axis.
• 2nd degree polynomial should have a total of 2 roots
• Therefore the number of real roots = 0
• The number of non real roots = 2

Similarly,

• 3rd degree polynomial intersect x axis at 1 point.

• 3rd degree polynomial should have a total of 3 roots

• Therefore the number of real roots = 1
• The number of non real roots = 2

The ratio of non real roots of 2nd degree polynomial to that of the 3rd degree polynomial = 2/2 = 1 : 1