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A perfect square is a binomial squared, like (x+3)^2. You would calculate this by remembering: Square the first, twice the product, square the last. So x^2 (square the first), plus 6x (twice the product), plus 9 (square the last), so we get x^2+6x+9. We can factor this in reverse to see that this is a perfect square. With this simple trick, you can solve for perfect squares.

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Related Questions

How can you tell if a trinomial is a perfect square?

A trinomial is perfect square if it can be factored into the form


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It can be factored as the SQUARE OF A BINOMIAL


What is a perfect square trinomial and how is it factored?

A trinomial of the form ax2 + bx + c is a perfect square if (and only if) b2-4ac = 0 and, in that case, it is factored into a*(x + b/2a)2


When do you say that a trinomial is a perfect square?

A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.


Is x2 plus 32x plus 64 a perfect-square trinomial.?

The given quadratic expression can not be factored as a perfect square.


What is trinomial perfect?

A trinomial is considered perfect if it can be expressed as the square of a binomial. For example, the trinomial (x^2 + 6x + 9) is a perfect square because it can be factored into ((x + 3)^2). Perfect trinomials typically take the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2).


Is 81c squared plus 72c plus 16 a perfect square trinomial?

Yes; the factored form would be (9c+4)(9c+4) or just (9c+4)2 Since the two factors are the same, the beginning trinomial 81c2+72c+16 is a perfect square trinomial


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How do you describe a perfect square trinomial?

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Are all trinomial are perfect square?

No.