Quadratics

Question 1

What is the standard form of a quadratic equation?

Answer 1

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Question 2

True or False: The quadratic formula can be used to find the roots of any quadratic equation.

Answer 2

True

Question 3

Fill in the blank: The solutions to the quadratic equation ax^2 + bx + c = 0 can be found using the formula x = (-b ± √(b² - 4ac)) / (2a). This formula is known as the __________.

Answer 3

quadratic formula

Question 4

What is the discriminant in a quadratic equation and what does it indicate?

Answer 4

The discriminant is the expression b² - 4ac. It indicates the nature of the roots: if it is positive, there are two real roots; if it is zero, there is one real root; and if it is negative, there are two complex roots.

Question 5

Multiple choice: Which of the following is NOT a method to solve a quadratic equation? A) Factoring B) Completing the square C) Linear regression D) Quadratic formula

Answer 5

C) Linear regression