(iv)(x-3)(2x+1)=x(x+5)

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

Find domain(i) f(x) = (1)/(x - 5) (ii) f(x) = (3 - x)/(x - 3) (iii) f(x) = (x^(2) - 1)/(x - 1) (iv) f(x) = (| x - 3 |)/(x - 3) (v) f(x) = (1)/(2 - sin 3x)

Find which of the following equations are quadratic : (i) (3x-1)^(2)=5(x+8) (ii) 5x^(2)-8x=-3(7-2x) (iii) (x-4)(3x+1)=(3x-1)(x+2) (iv) x^(2)+5x-5=(x-3)^(2) (v) 7x^(3)-2x^(2)+10=(2x-5)^(2) (vi) (x-1)^(2)+(x+2)^(2)+3(x+1)=0

Verify whether the following are zeroes of the polynomial, indicated against them . (i) p(x)=3x+1,x=-(1)/(3) (ii) p(x)=5x-pi,x=(4)/(5) (iii) p(x)=x^(2)-1,x=1,-1 (iv) p(x)=(x+1),(x-2),x=-1,2 (v) p(x)=x^(2),x=0 (vi) p(x)=lx+m,x=(-m)/(l) (vii) p(x)=3x^(2)-1,x=-(1)/(sqrt(3)),(2)/(sqrt(3)) (viii) p(x)=2x+1,x=(1)/(2)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

Write the coefficient of x^(2) in each of the following. (i) (x-1)(3x-4) (ii) (2x-5)(2x^(2)-3x+1) (iii) 5x-3 (iv) (pi)/(2)x^(2)+x .

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2