Factor when 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 done by finding two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

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: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What does it mean for a quadratic to be factored completely?

Back

A quadratic is factored completely when it is expressed as a product of irreducible factors, meaning no further factoring is possible.

Front

Factor the expression: x² - 5x - 6

Back

(x + 1)(x - 6)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (a - b).

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

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 factor equal to zero.

Front

Factor the expression: x² - 4x - 32

Back

(x - 8)(x + 4)