Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + 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 ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

Identify two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 7x + 10

Back

(x + 5)(x + 2)

Front

Factor the trinomial: x² - 3x - 10

Back

(x - 5)(x + 2)

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.

Front

How do you check if your factorization is correct?

Back

Multiply the binomials to see if you get back the original trinomial.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

Front

Factor the trinomial: n² + 4n + 4

Back

(n + 2)²