Factoring a=1

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials. This is often done by finding two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

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

Factor the expression: n² - 13n + 40

Back

(n - 5)(n - 8)

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as a product of two binomials with rational coefficients.

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

What is the relationship between the roots of a quadratic and its factors?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the values that make each binomial factor equal to zero.

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where an expression is in the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the expression: x² - 6x + 9

Back

(x - 3)²