Factoring Trinomials

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 is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c from the trinomial ax^2 + bx + c.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for two numbers that, when multiplied, equal the product of a and c, and when added, equal b.

Front

Factor the trinomial: 3a^2 + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number evenly, while a multiple is the result of multiplying a number by an integer.

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) affects the shape and direction of the parabola represented by the quadratic equation.

Front

How do you check if your factorization is correct?

Back

Multiply the binomials back together to see if you obtain the original trinomial.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as ax + b.