" (ii) "3x^(2)+4x+1

Find the length of the tangent for the curve y = x^(3) + 3x^(2) + 4x - 1 at point x = 0.

Classify the following polynomials based on their degree. p(x) = 2x^(3) -x^(2) + 4x + 1

When the smaller root of the equation 3x^(2) + 4x - 1 = 0 is subtracted from the larger root , the result is

Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) - 4x +1 = 0 .

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

If f(x)=3x^(2)+4x-1 , then find the approximate value of f(3.1) .