Factoring Trinomials A=1

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 trinomial?

Back

The standard form of a trinomial is ax^2 + bx + c, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial when A=1?

Back

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

Front

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

Back

Look for two integers that, when multiplied together, equal c and when added together, equal b.

Front

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

Back

(x + 2)(x + 3) because 2 * 3 = 6 and 2 + 3 = 5.

Front

What is the factored form of x^2 - 7x + 10?

Back

(x - 2)(x - 5) because -2 * -5 = 10 and -2 + -5 = -7.

Front

What is the significance of the leading coefficient being 1 in factoring?

Back

When the leading coefficient is 1, the trinomial can be factored into two binomials more easily.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms, typically in the form a + b.

Front

How can you check if your factored form is correct?

Back

You can check by multiplying the binomials back together to see if you get the original trinomial.