If the coefficient of the quadratic term and the constant term of a quadratic trinomial with respect to the letter X are both 1 and the coefficient of the primary term is three fourths, then

If the coefficient of the quadratic term and the constant term of a quadratic trinomial with respect to the letter X are both 1 and the coefficient of the primary term is three fourths, then

x²+¾x+1

If a quadratic equation of one variable has a root of 0, then what are the characteristics of the coefficients or constant terms of the terms of the equation? Do you have a root of 1? Do you have a root of - 1?

If a quadratic equation of one variable has a root of 0, then the constant term of the equation is 0
Let the equation be ax ^ 2 + BX + C = 0
If a root is 1, then a + B + C = 0
If a root is - 1, then B = a + C

F (x), G (x) are integral coefficient polynomials, G (x) are primitive, f (x) = g (x) H (x), H (x) are rational coefficient polynomials. It is proved that h (x) is integral coefficient polynomials

But $f_ (x) $and $f_ (x) All are irreducible polynomials with integral coefficients, if F_ (x)=+-f_ (x) If $does not hold, then $f_ (x) $and $f_ (x) So $F_ (x)f_ (x)