Factor a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 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.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers or terms.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write it outside of parentheses.

Front

What does it mean for a trinomial to be factorable?

Back

A trinomial is factorable if it can be expressed as the product of two binomials.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, typically in the form ax + b.

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: x^2 + 12x + 35

Back

(x + 5)(x + 7)

Front

Factor the trinomial: x^2 + 17x - 60

Back

(x + 20)(x - 3)