[" (1) "f^(2)-3,2t^(2)+3t^(3)-2t^(2)-9t-12],[" (ii) "x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2]

Check whether the first polynomial is factor of Second polynomial by dividing: t^2-3,2t^(4)+3t^(3)-2t^(2)-9t-12 (ii) x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2 (iii) x^(3)-3x+1,x^(5)-4x^(3)+x^(2)+3x+1

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Rewrite each of the following polynomials in standard form. (i) x-2x^(2)+8+5x^(3) (ii) (2)/(3)+4y^(2)-3y+2y^(3) (iii) 6x^(3)+2x-x^(5)-3x^(2) (iv) 2+t-3t^(3)+t^(4)-t^(2)

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

If f(x)=t^(2)+(3)/(2)t , then f(q-1)=

Find the degree of each of the following polynomials : (i) 5x^(2)-2x+1 " " (ii) 1-5t+t^(4) " " (iii) 7 " " (iv) x^(4)-3x^(6)+2

Find the degree of each of the following polynomials : (i) 5x^(2)-2x+1 " " (ii) 1-5t+t^(4) " " (iii) 7 " " (iv) x^(4)-3x^(6)+2

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2