Draw the Graph of Polynomial when polynomial function is in standard form `f(x)=a_nx^n+a_(n-1)x^(n-1)+............a_1x+a_0` - (i)Leading coefficient is positive (ii)Leading cofficient is negative

Draw the Graph of Polynomial when polynomial function is in standard form f(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+......a_(1)x+a_(0)-( i)Leading coefficient is positive (ii)Leading cofficient is negative

What are the two conditions for which the expression p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+..........+a_(1)x+a_(0) is a polynomial ?

Evaluate lim_(xrarrc) f(x) where f(x) = a_nx^n+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+.....+a_2x^2+a_1x^1+a_0

If the polynomial equation a_n x^n + a_(n-1) x^(n-1) + a_(n-2) x^(n-2) + ....... + a_0 = 0, n being a positive integer, has two different real roots a and b . then between a and b the equation na_n x^(n-1) +(n-1)a_(n-1) x^(n-2) +.......+a_1 =0 has

If n be a whole number and a_(0),a_(1),a_(2),..............,a_(n)(a_(n)ne0) are constants, then the polynomial p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+.............+a_(1)x+a_(0) will be a zero polynomial, when

Let f(x) =a_(0)x^(n)+a_(1)x^(n-1)+...+a_(n)(a_(0)ne0) be a polynomial of degree n . If x+1 is one of its factors, then______.

If x-r is a factor of the polynomial f(x)=a_0x^n+a_1x^(n-1)+.....+a_n repeated m times, (1ltxlt=n), then r is a root of f^(prime)(x)=0 repeated m times.True/False.

If x-r is a factor of the polynomial f(x)=a_0x^n+a_1x^(n-1)+.....+a_n repeated m times, (1ltxlt=n), then r is a root of f^(prime)(x)=0 repeated m times.True/False.

If x-r is a factor of the polynomial f(x)=a_0x^n+a_1x^(n-1)+.....+a_n repeated m times, (1ltxlt=n), then r is a root of f^(prime)(x)=0 repeated m times.

let f(x)=a_0+a_1x^2+a_2x^4+............a_nx^(2n) where 0< a_0 < a_1 < a_3 ............< a_n then f(x) has