Factoring Polynomials - Perfect Square Trinomials by Math Teacher Gon
MATH TEACHER GON・5 minutes 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.
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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.
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Summary
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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.
