Factoring Trinomials

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

How do you find the factors of a trinomial?

Back

To find the factors, look for two numbers that multiply to ac (the product of a and c) and add to b.

Front

What is the significance of the leading coefficient in factoring?

Back

The leading coefficient (a) affects the shape of the parabola and can influence the factoring process.

Front

What is the difference between factoring by grouping and factoring trinomials?

Back

Factoring by grouping involves rearranging terms and grouping them, while factoring trinomials focuses on finding two binomials.

Front

What is the factored form of x^2 - 5x + 6?

Back

(x - 2)(x - 3) is the factored form of x^2 - 5x + 6.

Front

What is the factored form of 2x^2 + 8x?

Back

2x(x + 4) is the factored form of 2x^2 + 8x.