Show that a polynomial of an odd degree has at least one real root.

a polynomial of an even degree has atleast two real roots if it attains atleast one value opposite in sign to the coefficient of its highest-degree term.

A polynomial of degree n can have atmost n real roots

A polynomial of degree n has

Statement-1: The function f:R to R defined by f(x)=x^(3)+4x-5 is a bijection. Statement-2: Every odd degree has at least one real root.

Statement-1: The function f:R to R defined by f(x)=x^(3)+4x-5 is a bijection. Statement-2: Every odd degree has at least one real root.

The size of one degree is least on

Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients and (a, b) be any point. Statement 1: There always exists a line passing through (a , b) and touching the curve y=f(x) at some point. Statement 2: A polynomial of odd degree with real coefficients has at least one real root.

Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients and (a, b) be any point. Statement 1: There always exists a line passing through (a , b) and touching the curve y=f(x) at some point. Statement 2: A polynomial of odd degree with real coefficients has at least one real root.

Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients and (a, b) be any point. Statement 1: There always exists a line passing through (a , b) and touching the curve y=f(x) at some point. Statement 2: A polynomial of odd degree with real coefficients has at least one real root.

Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients and (a, b) be any point. Statement 1: There always exists a line passing through (a , b) and touching the curve y=f(x) at some point. Statement 2: A polynomial of odd degree with real coefficients has at least one real root.