Let us now consider a cubic polynomial pu) given by `p(x)=6x^3+5x^2-12x+4`

Answer the following by a number or a word or a sentence : What is the product of zeroes of the cubic polynomial p(x)= x^(3)+5x^(2)-2x-24 ?

Verify that 3, -2, 1 are the zeros of the cubic polynomial p(x) = x^(3) - 2x^(2)-5x+6 and verify the relation between its zeros and coefficient.

A quadratic polynomial p(x) is given as p(x)=x^(2)-5x+6, then find the maximum value of (p(cos x))/(2)

For a polynomial p(x) of degree ge1, p(a)=0 , where a is a real number, then (x-a) is a factor of the polynomial p(x) p(x)=x^(3)-3x^(2)+4x-12 , then p(3) is

Find the zeroes of the given polynomials. p(x) = x^2-x-12

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= x^(3)-3x^(2)+6x-20 g(x)= x-2

Divide the given polynomial by the given monomial: (5x^2-6x):- 3x

Divide the given polynomial by the given monomial. (5x^2 - 6x) div 3x

Check whether -2 and 6 are the zeroes of the polynomial x^2-4x-12 . Hint : Let p(x) = x^2-4x-12 , if if p(-2)=0, then -2 is a zero of the given polynomial.