Factoring Polynomials - Perfect Square Trinomials by Math Teacher Gon
MATH TEACHER GON・1 minute read
Perfect square trinomials are expressed as the square of a binomial, factored by squaring the first term, copying the sign, multiplying the two terms, and squaring the last term. Examples include x squared plus 6x plus 9 factoring to (x + 3) squared, and 4x squared plus 12x plus 9 factoring to (2x + 3) squared.
Insights
- Perfect square trinomials can be factored by recognizing the pattern of squaring the first and last terms, copying the sign, and multiplying the two terms in the middle.
- Understanding the process of factoring perfect square trinomials, such as (x + 3) squared or (2x + 3) squared, involves a systematic approach that simplifies complex expressions into manageable forms.
Get key ideas from YouTube videos. It’s free
Recent questions
How are perfect square trinomials factored?
By squaring the first term, copying the sign, multiplying the two terms, and squaring the last term.
Related videos
Summary
00:00
Factoring Perfect Square Trinomials Easily
- Perfect square trinomials have three terms and can be expressed as the square of a binomial.
- To factor a perfect square trinomial, square the first term, copy the sign, multiply the two terms, and square the last term.
- For example, x squared plus 6x plus 9 can be factored as (x + 3) squared.
- Another example, 4x squared plus 12x plus 9, factors to (2x + 3) squared.
