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______.

a_(0)x^(n) + a_(1)x^(n-1) + a_(2)x^(n-2) + ……..a_(n)x^(n) is polynomial of degree ……………

Let P(x) = a_(0) + a_(1)x^(2) + a_(2)x^(4) + ..........+ a_(n) x^(2n) be a polynomial in a real variable x with 0 lt a_(0) lt a_(1) lt a_(2) lt ……………. lt a_(n) The function P(x) has :

Let P(x) = a_(0) + a_(1)x^(2) + a_(2)x^(4)+...+a_(n)x^(2n) be a polynomial in a real variable x with 0 lt a_(0) lt a_(1) lt a_(2) lt ... lt a_(n) . The function P(x) has

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

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

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

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

(1+x)^(n)=a_(0)+a_(1)x+a_(2)*x^(2)+......+a_(n)x^(n) then prove that

Let a_(0)x^(n)+a_(1)x^(n-1)+...+a_(n-1)x+a_(n)=0 be the nth degree equation with a_(0),a_(1),...a_(n) integers.If (p)/(q) is arational root of this equation,then p is a divisor of an and q is a divisor of a_(n). If a_(0)=1, then every rationalroot of this equation must be an integer.

Let f(x) = a_(0)x^(n) + a_(1)x^(n-1) + a_(2) x^(n-2) + …. + a_(n-1)x + a_(n) , where a_(0), a_(1), a_(2),...., a_(n) are real numbers. If f(x) is divided by (ax - b), then the remainder is