Question

The number of times the graph of y = p(x) cuts the X axis is ‘a’. The degree of the polynomial p(x) is ‘b’ (> 0). Then $\frac{b}{a}$ ___ 1

• A. <
• B. >
• C. $\ge$
• D. $\le$

Answer 1

The correct option is C $\ge$

The graph of y = p(x) with degree 'b' can cut the x axis a maximum of b times.It is given that it cuts the x axis a times. Hence a can be any integer from 0 to b. i.e. $0<a\le b.So\frac{b}{a}\ge 1$.