Alg 1 HW 3-19-25. Day 3 Factoring Trinomial Practice

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 polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the factored form of 5x² - 13x + 6?

Back

(5x - 3)(x - 2)

Front

How do you determine if a trinomial is factorable?

Back

A trinomial is factorable if it can be expressed as a product of two binomials.

Front

What is the factored form of 4h² - 17h + 4?

Back

(h - 4)(4h - 1)

Front

What is the process to factor a trinomial?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the middle term and factor by grouping.

Front

What is the factored form of 3a² + 4a + 1?

Back

(3a + 1)(a + 1)

Front

What is the factored form of 3v² - 4v - 7?

Back

(3v - 7)(v + 1)

Front

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

Back

The leading coefficient (a) affects the direction of the parabola and the width of the graph.