GCF & a=1 Factoring Practice

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you factor a polynomial?

Back

To factor a polynomial, find the GCF of the terms, then express the polynomial as a product of the GCF and the remaining polynomial.

Front

Factor the expression: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

Front

Factor the expression: x² - 5x - 24

Back

(x - 8)(x + 3)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

Factor the expression: x² + 12x + 36

Back

(x + 6)(x + 6)

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a - b)(a + b).

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.