Factoring D2PS Binomials

Front

What is a D2PS binomial?

Back

A D2PS binomial is a polynomial expression that can be expressed in the form of a difference of squares, specifically in the format a^2 - b^2.

Front

What is the formula for factoring a difference of squares?

Back

The formula for factoring a difference of squares is a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: 4x^2 + 9

Back

Prime

Front

Factor the expression: u^2 - 100

Back

(u - 10)(u + 10)

Front

Factor the expression: 49d^2 - 1

Back

(7d + 1)(7d - 1)

Front

Factor the expression: k^2 + 36

Back

Not factorable

Front

Factor the expression: 16y^2 - 25

Back

(4y + 5)(4y - 5)

Front

What does it mean if a polynomial is prime?

Back

A polynomial is prime if it cannot be factored into the product of two non-constant polynomials.

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.

Front

What is the significance of recognizing perfect squares in factoring?

Back

Recognizing perfect squares helps in applying the difference of squares formula effectively.