Activity 1

Factoring involves rewriting the quadratic equation in the form (ax + b)(cx + d) = 0, then setting each factor to zero to find the solutions.

x = -2 and x = -3/5

-1, 4

x = 4 and x = 5

(x - 1)(x + 3); x = 1, x = -3

A quadratic equation is a polynomial equation of degree 2, typically in the form $$ax^2 + bx + c = 0$$ .

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the solutions of a quadratic equation.

A quadratic equation has real solutions if the discriminant (b^2 - 4ac) is greater than or equal to zero.

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

-1, -2/3