Factoring when a = 1

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 48x² and 32x³?

Back

The GCF is 16x².

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

Factor the expression x² + 3x + 2.

Back

(x + 2)(x + 1)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a polynomial that can be expressed as the square of a binomial.

Front

Which expression is equivalent to (x - 3)(x - 3)?

Back

(x - 3)².

Front

Factor the expression x² - 9x + 20.

Back

(x - 5)(x - 4)

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 factor r² - 16r + 60?

Back

(r - 6)(r - 10)

Front

What is the relationship between the roots of a polynomial and its factors?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.