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' (the coefficient of x²) by 'c' (the constant term) to find the product.

Front

What is the purpose of finding two numbers that multiply to ac and add to b?

Back

These two numbers help in splitting the middle term to facilitate factoring.

Front

How do you factor the trinomial x² + 7x - 30?

Back

The factors are (x + 10)(x - 3).

Front

What is the factored form of 3e² - 4e - 7?

Back

The factored form is (3e - 7)(e + 1).

Front

How do you factor 4e² - 17e + 4?

Back

The factors are (e - 4)(4e - 1).

Front

What is the factored form of e² + 5e - 6?

Back

The factored form is (e - 1)(e + 6).