Factoring a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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.

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.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)².

Front

What is the sum and product method in factoring quadratics?

Back

The sum and product method involves finding two numbers that add to b and multiply to c in the quadratic ax² + bx + c.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a² ± 2ab + b².

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5).

Front

What is the role of the leading coefficient in factoring?

Back

The leading coefficient (a) affects the shape of the parabola and can influence the factoring process.