Write the standard form of a linear polynomial with real coefficients.

Write the standard form of a cubic polynomial with real coefficients.

Define a polynomial with real coefficients.

Write the standard form of a quadratic polynomial with real coefficients.

Graph of Linear polynomial

Let u, v be two real numbers such that u,v and uv are roots of a cubic polynomial with rational coefficients. Prove or disprove uv is rational.

Let a=cos 1^(@) and b= sin 1^(@) . We say that a real number is algebraic if is a root of a polynomial with integer coefficients. Then

Which of the following is a linear polynomial ?

For the polynomial (x^(3)+2x+3)/(5)-(7)/(2)x^(2)-x^(6) ,write (i) the degree of the polynomial , (ii) the coefficient of x^(3) , (iii) the coefficient of x^(6) , (iv) the constant term.

State 'T' for true and 'F' for false and select the correct option. I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident. II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero. III. If graph of quadratic polynomial ax^(2)+bx+c cuts positive direction of y-axis, then the sign of c is positive. IV. If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

Write (33)/(-55) in standard form is