Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 trinomial?

Back

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

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial 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?

Back

The first step is to look for a common factor in all terms of the trinomial.

Front

What is the method of grouping in factoring?

Back

The method of grouping involves rearranging and grouping terms in a polynomial to factor it more easily.

Front

How do you factor the trinomial 2x² + x - 6?

Back

To factor 2x² + x - 6, find two numbers that multiply to (2 * -6) = -12 and add to 1. The factors are (x + 2)(2x - 3).

Front

What is the significance of the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you check if a factorization is correct?

Back

To check if a factorization is correct, multiply the factors back together and see if you obtain the original polynomial.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms, typically in the form a + b.