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

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

A nonzero polynomial with real coefficient has the property that f(x)=f'(x)f(x) .If a is the leading coefficient of f(x), then the value of (1)/(2a) is

Differentiate |x|+a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-1)+...+a_(n-1)x+a_(n)

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

A nonzero polynomial with real coefficients has the property that f(x)=f'(x)cdotf''(x). If a is the leading coefficient of f(x), then the value of 1//a is -

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_(0)x^(n)+a_(1)x^(n-1)+...+a_(n) repeated m xx,(1

If m and n are +ve integers and m>n and if (1+x)^(m+n)(1-x)^(m-n) is expanded as a polynomial in x ,then the coefficient of x^(2) is

Let f(x)=a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-2)+......+a_(n),(a_(0)!=0) if a_(0)+a_(1)+a+_(2)+......+a_(n)=0 then the root of f(x) is