Answer:

1. The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term), divided by the leading coefficient.

Step-by-step explanation:

2. These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials.

3. When you're dealing with quadratic equations, it can be really helpful to identify a, b, and c. These values are used to find the axis of symmetry, the discriminant, and even the roots using the quadratic formula. It's no question that it's important to know how to identify these values in a quadratic equation.

1. How are the coefficients of a quadratic equation related to its roots?

2. How do you determine the sum and the product of the roots of each quadratic equation?

3. What is the importance of understanding the relations between the roots and the values of a,b and c?

Step-by-step explanation:

1.The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term), divided by the leading coefficient.

2.These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials.

3.The product of the roots of a quadratic equation is equal to the constant term (the third term), divided by the leading coefficient. You will discover in future courses, that these types of relationships also extend to equations of higher degrees.