Advanced 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 general form of factoring a trinomial when a > 1?

Back

The general form is ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial with a leading coefficient greater than 1?

Back

Multiply 'a' and 'c' to find the product that will help in finding two numbers that add to 'b'.

Front

What is the significance of the 'b' coefficient in factoring?

Back

The 'b' coefficient is used to find two numbers that add up to 'b' and multiply to 'ac'.

Front

Factor the trinomial: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the trinomial: 6x² + 5x - 6

Back

(3x - 2)(2x + 3)

Front

Factor the trinomial: 5x² - 13x + 6

Back

(5x - 3)(x - 2)

Front

Factor the trinomial: 2m² + 3m - 9

Back

(m + 3)(2m - 3)