Factoring Binomials and Difference of Squares

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as a + b or 3x - 5.

Front

What is the difference of squares?

Back

Front

Factor the expression: 9c^2 - 100.

Back

(3c - 10)(3c + 10)

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

Factor the expression: 6x^3 - 21x.

Back

3x(2x^2 - 7)

Front

Factor the expression: 81c^2 - 100.

Back

(9c - 10)(9c + 10)

Front

What does it mean if an expression is prime?

Back

If an expression is prime, it cannot be factored into simpler polynomial expressions with integer coefficients.

Front

Factor the expression: x^2 + 81.

Back

It's prime.

Front

What is the first step in factoring a polynomial?

Back

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