Check :- `3x(x+1)=3x^2 + 3x`

If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x - 3, x^(2) + 4, 3x):}| = a_(0) + a_(1) x + a_(2) x^(2) + .... + x_(7) x^(7), then the value of a_(0) is

Check whether g(x)=x^(3)-3x+1 is a factor of f(x)=x^(5)-4x^(3)+x^(2)+3x+1 by applying the division algorithm.

Check whether the following are quadratic equations : (x - 3) (x - 3) = (x + 5) (x - 1)

What is the HCF of the polynomials x^6 - 3x^4 + 3x^2 - 1 and x^3 + 3x^2 + 3x + 1 ?

Check x=2 in (3x-1)/(4)+(3)/(4)=2

Let p(x)=x^(3)-x+1andg(x)=2-3x , Check whether p(x) is a multiple of g (x) or not .

Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x), where p(x)=x^(5)-4x^(3)+x^(2)+3x+1,g(x)=x^(3)-3x+1 .

Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial p(x)=x^(5)-4x^(3)+x^(2)+3x+1, g(x)=x^(3)-3x+1 .

Check if x=2, y=1 is a solution of the system of equations: 3x-2y=4, 2x+y=5