Factoring (GCF and Trinomials when a=1)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor polynomials.

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b. These numbers will be used to create the factors (x + m)(x + n).

Front

Factor the trinomial: x^2 - 9x + 20

Back

(x - 5)(x - 4)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors from each group.

Front

Factor the trinomial: x^2 + 11x + 24

Back

(x + 8)(x + 3)

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be numbers, variables, or other polynomials.

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)