Factoring a>1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What does it mean to factor a polynomial when the leading coefficient (a) is greater than 1?

Back

It means to express the polynomial as a product of two binomials, where the coefficient of the highest degree term is greater than 1.

Front

Factor: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor Completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Factor: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

Factor Completely: 5n² - 6n - 27

Back

(5n - 9)(n + 3)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms.

Front

What is the first step in factoring a polynomial?

Back

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