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: r² - 16r + 60

Back

(r - 6)(r - 10)

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 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

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 - 25

Back

(x + 5)(x - 5)

Front

What is the significance of the leading coefficient in a quadratic expression?

Back

The leading coefficient (a) determines the direction of the parabola's opening and affects the width of the parabola.

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5)