Factoring Quadratics a=1

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 and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

Factor the quadratic expression: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

What is the GCF (Greatest Common Factor) of 22x³ and 11x²?

Back

11x²

Front

Factor the quadratic expression: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)²

Front

What is the process to factor a quadratic expression when a = 1?

Back

To factor a quadratic expression when a = 1, find two numbers that multiply to c and add to b.

Front

Factor the quadratic expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

Factor the expression: 5x³ - 7x²

Back

x²(5x - 7)

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into simpler components, while expanding is multiplying out the components.