Solving Quadratics - Factoring

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

Solve by factoring: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve the equation: 5x² = 13x + 6

Back

x = 3 and x = -2/5

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a² - b² = (a - b)(a + b).