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.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial: n² + 4n + 4

Back

(n + 2)²

Tags

CCSS.HSA.APR.C.4