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, 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 factored form of k² + 7k + 10?

Back

(k + 2)(k + 5)

Front

What is the factored form of r² - 16r + 60?

Back

(r - 6)(r - 10)

Front

What is the factored form of x² - 6x + 9?

Back

(x - 3)(x - 3) or (x - 3)²

Front

What is the factored form of x² + 7x + 6?

Back

(x + 6)(x + 1)

Front

What is the factored form of n² + 16n + 63?

Back

(n + 7)(n + 9)

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 relationship between the coefficients and the factors of a quadratic?

Back

The sum of the factors equals the coefficient of the x term, and the product of the factors equals the constant term.