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It can be factored as the SQUARE OF A BINOMIAL

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13y ago

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

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


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


What is the perfect square trinomial for 4x2-42x plus 110?

4x2-42x+110 = (2x-10)(2x-11) when factored


How do you describe a perfect square trinomial?

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.


Is 25x2-70x plus 49 a perfect square trinomial?

Yes because 25x2-70x+49 = (5x-7)(5x-7) when factored


Is n² 20n 100 a perfect square trinomial?

If you mean: n2+20n+100 then yes it is because (n+10)(n+10) when factored


Are all trinomial are perfect square?

No.


Is X squared minus 14x plus 49 a perfect square trinomial?

Yes because if x2-14x+49 then it is (x-7)(x-7) when factored