That depends on the values of the polynomial but in general:-
If the discriminant is greater than zero it has 2 solutions
If the discriminant is equal to zero then it has 2 equal solutions
If the discriminant is less than zero it has no solutions
The discriminant polynomial is always [ b2 - 4ac ]. In any given expression, it's a number. In this expression, the number is zero, indicating that the expression is a square.
We can't answer that without knowing what the polynomial is.
There is no polynomial below.(Although I'll bet there was one wherever you copied the question from.)
90
Discriminant = 116; Graph crosses the x-axis two times
65
88 -Apex ;)
The discriminant is -7
The discriminant is 0.
The discriminant is 0.
The discriminant is 88.
52-4*7*1 = -3 The discriminant is less than zero so the quadratic equation will have no solutions.
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
A polynomial discriminant is defined in terms of the difference in the roots of the polynomial equation. Since a binomial has only one root, there is nothing to take its difference from and so in such a situation, the discriminant is a meaningless concept.
It is 40.
The discriminant polynomial is always [ b2 - 4ac ]. In any given expression, it's a number. In this expression, the number is zero, indicating that the expression is a square.
The real roots of what, exactly? If you mean a square trinomial, then: If the discriminant is positive, the polynomial has two real roots. If the discriminant is zero, the polynomial has one (double) real root. If the discriminant is negative, the polynomial has two complex roots (and of course no real roots). The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.