How do you factor: #y= x^2-6x+9 #? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Tony B Apr 5, 2018 #y=(x-3)^2# Explanation: Notice that #(-3)xx(-3)=+9 and -3-3=-6# So we have #y=(x-3)(x-3) = (x-3)^2# Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor #3a+9b+6#? What is the greatest common factor of #a^3-3a^2+4a#? How do you factor #12xy+24xy^2+36xy^3#? How do you find the greatest common factor of #45y^{12}+30y^{10}#? How do you factor #92x^10y^4 - 54x^12y^9#? How do you factor #4x^2+x#? See all questions in Monomial Factors of Polynomials Impact of this question 1368 views around the world You can reuse this answer Creative Commons License