math,help

Is this trinomial a perfect square

x^2-6x+9

if the trinomial starts with x^2 and 1/2 of the middle term coefficient squared equals the last term, then it is a perfect square.
tell me what you found.

i thought it was not a perfect square. because i tried factoring it but it won't come out.am i wrong then

expand (x+3)^2

(x+3)(x+3)

x^2+3x+3x+9
x^2+6x+9

but in the original is x^2-6x+9



(x+3)^2 is incorrect. It is (x-3)^2:

x^2-3x-3x+9
x2-6x+9

and there is your answer.

Do you get it?

(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9


therefore it is a perfect square is this correct then

sorry emily, of course I meant (x-3)^2, it was a typo. sorry, its getting late where I am.

Yes it is. Good job!

  1. 👍 0
  2. 👎 1
  3. 👁 733

Respond to this Question

First Name

Your Response

Similar Questions

  1. math 118

    x^2+10x Add the proper constant to the binomial so tha tthe resulting trinomial is a perfect square trinomial. Then factor the trinomial

    asked by liz on December 10, 2009
  2. Math

    this question does not make sense to me. Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. then factor the trinomail. X^2+21x+__ What is the constant term? What is the factored

    asked by Nick on December 6, 2007
  3. algebra 2

    find the value of c that makes each trinomial a perfect square. then write the trinomial as a prefect square. x^2-10x+c x^2+60x+c

    asked by Reina Bonilla on December 13, 2014
  4. trinomial

    I need this answer. Which trinomial is a perfect square trinomial? A.)X^2-4x+10 B.)x^2+6x+9 C.)x^22x-4

    asked by Mz. Swagga on May 17, 2010
  5. algebra 1

    Determine whether each trinomial is a perfect square trinomial. x^2-16x+64

    asked by Katy on March 9, 2009
  6. Algebra 1

    1. What is the excluded value for the rational expression x^2 - 4/3x - 6? A: ? 2. The trinomial x ^2 - 6x + c is a perfect-square trinomial. What is the value of c? A: 9 3. Find the positive solution of the equation x^2 + 5x - 4 =

    asked by Victoria on June 10, 2014
  7. Algebra 1--Please, help me!

    1. Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to th mixture? A: ? Determine whether

    asked by Victoria on June 3, 2014
  8. Algebra 1--Please, help me!

    1. Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to th mixture? A: ? Determine whether

    asked by Victoria on June 3, 2014
  9. algebra

    I am confused on how to determine if an equation/expression is a trinomial square. For example c^2(squared)-18c+81. I know that this is a trinomial square but I don't know why. Could someone please help me understand better

    asked by Sam on January 7, 2010
  10. check my answers please

    1.)order the group of quadratic fractions from widest to narrowest graph. y=3x^2;y=5x^2;y=7x^2 a.)y=3x^2;y=5x^2;y=7x^2 b.)y=7x^2;y=5x^2;y=3x^2 c.)y=3x^2;y=7x^2;y=5x^2*** d.)y=2x^2;y=7x^2;y=3x^2 2.)the area of a play ground is

    asked by Hannah on April 12, 2016

More Similar Questions