This topic focuses on understanding the quadratic discriminant and its implications on the nature of the roots of quadratic equations. Learners explore conditions under which a quadratic function has real roots, specifically analyzing whether the discriminant is greater than, less than, or equal to zero. Through multiple questions, the topic reinforces the concept that the sign of the discriminant determines the number of real roots a quadratic equation possesses, thus deepening comprehension of this fundamental aspect of quadratic equations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Discriminants - Has Real Roots to Greater/Lesser than Zero Worksheet

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Quadratic Discriminants - Has Real Roots to Greater/Lesser than Zero
1
If a quadratic function does NOT have real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
2
If a quadratic function has real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
3
If a quadratic function does NOT have real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
4
If a quadratic function has real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
5
If a quadratic function does NOT have real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
6
If a quadratic function has real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
7
If a quadratic function does NOT have real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
8
If a quadratic function has real roots, what is true about its discriminant?
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0