If: x^2 +2x -8 then it is (x-2)(x+4) when factored
It is a quadratic expression in x which has no real roots.
an alg expression involving square roots, cube roots, etc
roots
x2 + 3x - 5 is an expression, not an equation. An equation may have roots, an expression does not. However, x2 + 3x - 5 = 0 is an equation and its roots are -4.1926 and 1.1926 (approx).
The roots will be equal
It is a quadratic expression in x which has no real roots.
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
an alg expression involving square roots, cube roots, etc
There is no simple factorisation because the quadratic expression does not have rational roots. Irrational roots are not used in factorisation.
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
Surd
surd
roots
z5 is an expression, not an equation and so cannot have roots.
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
It means to have deep origins.
x2 + 3x - 5 is an expression, not an equation. An equation may have roots, an expression does not. However, x2 + 3x - 5 = 0 is an equation and its roots are -4.1926 and 1.1926 (approx).