0
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.
What else can I help you with?
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
What quadratic equations already contains a perfect square trinomial?
A quadratic equation that contains a perfect square trinomial can be expressed in the form ( ax^2 + bx + c = 0 ), where the trinomial can be factored as ( (px + q)^2 ). This means that the equation can be written as ( a(px + q)^2 = 0 ), leading to solutions derived from ( px + q = 0 ). Examples include equations like ( x^2 + 6x + 9 = 0 ) or ( 4x^2 - 12x + 9 = 0 ). In these cases, the perfect square trinomial allows for straightforward factoring and finding of roots.
Is x2-25x 100 a trinomial square?
If you mean: x2-25x+100 then it is (x-5)(x-20) when factored
How do you complete the square to make a binomial a perfect-square trinomial?
The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.
Is 9x2-36x 16 a perfect square trinomial?
If you mean: 9x2-36x+16 then it is not a perfect square because its discriminant is greater than zero
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 can a perfect square trinomial can be factored as?
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
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.
