Factoring a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 the 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

Factor the expression: x² - 25

Back

(x + 5)(x - 5).

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: n² - 13n + 40

Back

(n - 5)(n - 8).

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 of the form a² ± 2ab + b², which factors to (a ± b)².