If polynomial `p(t)=t^4-t^3+t^2+6`, then find `p(-1)`

Check whether the polynomial q(t)=4t^(3)+4t^(2)-t-1 is a multiple of 2t+1

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^(2)-3,2t^(4)+3t^(3)-2t^(2)-9t-12

If u = 3t^(4) - 5t^(3) + 2t^(2) - 18t+4 , find (du)/(dt) at t = 1 .

Polynomial p(t) with zeroes -1 and 2 is given by :

If p(t)=t^(3)-1 f ind the values of p(1),p(-1),p(0),p(2),p(-2)

Find p(0), p(1) and p(2) for each of the following polynomials : (i) p(y)=y^(2)-y+1 (ii) p(t)=2+t+2t^(2)-t^(3) (iii) p(x)=x^(3) (iv) p(x)=(x-1)(x+1)

Find p(0),p(1) and p(2) for each of the following polynomials: (i) p(y)=y^(2)-y+1 (ii) p(t)=2+t+2t^(2)-t^(3) (iv) p(x)=(x-1)(x+1)

If P(t ) = t^2 - 1 , find the value of P(1) , P(-1), P(0), P(-2)

Find the value of each of the following polynomials at the indicated value of variables: (i) p(x)=5x^2-3x+7 at x=1 (ii) q(y)=3y^3-4y+sqrt(11) at y=2 (iii) p(t)=4t^4+5t^3-t^2+6 at t=a

For x , t in R let p_(t) (x)= ( sin t) x^(2) - (2 cost ) x + sin t be a family of quadratic polynomials in x with variable coefficients. Let A(t) = int_(0)^(1) p_(t) ( x)dx , Which of the following statements are true? (I) A(t) lt 0 for all t. (II) A(t) has infinitely many critical points. (III) A(t) = 0 for infinitely many t. (IV) A'(t) lt 0 for all t.