Solving Quadratics, simplifying radicals

Front

Solve the equation 8x² - 13x + 5 = 0 by factoring.

Back

The solutions are x = 5/8 and x = 1.

Front

Simplify √-18.

Back

The simplified form is 3i√2.

Front

Factor completely: x² – 2x.

Back

The factored form is x(x – 2).

Front

What is the factorization of a² + 8a - 20?

Back

The factorization is (a + 10)(a - 2).

Front

Simplify -3√108.

Back

The simplified form is -18√3.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Look for two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.