Factoring Trinomials-D. Haithe

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax^2 + 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 a factored trinomial?

Back

The general form is (x + p)(x + q) where p and q are numbers that satisfy the equation.

Front

How do you find the factors of x^2 + 8x + 7?

Back

Look for two numbers that multiply to 7 and add to 8. The factors are (x + 7)(x + 1).

Front

What is the process to factor n^2 - 11n + 10?

Back

Find two numbers that multiply to 10 and add to -11. The factors are (n - 1)(n - 10).

Front

What are the factors of m^2 + m - 90?

Back

Find two numbers that multiply to -90 and add to 1. The factors are (m + 10)(m - 9).

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients of the trinomial and look for two numbers that multiply to the constant term and add to the linear coefficient.

Front

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

Back

The leading coefficient affects the shape and direction of the parabola represented by the trinomial.

Front

How can you check if your factors are correct?

Back

Multiply the factors back together to see if you obtain the original trinomial.

Front

What is the factored form of k^2 + 7k + 10?

Back

The factored form is (k + 2)(k + 5).