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 difference of squares formula?

Back

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

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

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 = (a - b)².

Front

Factor the expression: v² - 6v + 9

Back

(v - 3)²

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

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

What is the sum and product method in factoring?

Back

The sum and product method involves finding two numbers that add to the coefficient of 'x' and multiply to the constant term.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)