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 does it mean for a quadratic equation to be in the form A=1?

Back

It means that the coefficient of the x² term is 1, simplifying the factoring process.

Front

Factor the expression: n² - 13n + 40

Back

(n - 5)(n - 8)

Front

Factor the expression: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² = (a - b)(a + b).

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with real coefficients.

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic expression and look for two numbers that multiply to the constant term and add to the linear coefficient.