Factoring Quadratics (With 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 a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What does it mean for a quadratic to have a leading coefficient of 1?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

Factor the expression n² - 11n + 10.

Back

(n - 1)(n - 10)

Front

Factor the expression x² - 15x + 50.

Back

(x - 5)(x - 10)

Front

Factor the expression x² - 9x - 22.

Back

(x + 2)(x - 11)

Front

Factor the expression x² + 8x - 20.

Back

(x + 10)(x - 2)

Front

Factor the expression b² + 8b + 7.

Back

(b + 7)(b + 1)