(H)Factoring Trinomials a=1( FACTORING,grouping,diff squares,GCF

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

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

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, then express it as (x + m)(x + n) where m and n are the two numbers.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where an expression is in the form a^2 - b^2, which can be factored as (a + b)(a - b).

Front

How do you factor by grouping?

Back

To factor by grouping, group terms with common factors, factor out the GCF from each group, and then factor out the common binomial.

Front

Factor the expression: x^2 - 20x + 100.

Back

(x - 10)^2.

Front

Factor the expression by GCF: 6x + 24.

Back

6(x + 4).

Front

Factor the expression: 7x + 21 using the GCF.

Back

7(x + 3).

Front

Factor the expression: x^2 - 5x.

Back

x(x - 5).