Factor as the product of two binomials. 9-6x+x^(2)=

Recognize and reorder quadratic expression: Recognize the quadratic expression and reorder it if necessary. The given expression is 9 - 6x + x^2. To make it easier to factor, we should write it in the standard quadratic form, which is ax^2 + bx + c. Reordering the expression, we get x^2 - 6x + 9.Identify perfect square trinomial pattern: Look for a pattern or method to factor the quadratic expression. The expression x^2 - 6x + 9 is a perfect square trinomial because it can be written as (x - 3)^2. This is because the square of the first term is x^2, the square of the last term is 9, and twice the product of the first and last terms gives the middle term (-6x).Factor using perfect square trinomial pattern: Factor the expression using the perfect square trinomial pattern. The factored form of x^2 - 6x + 9 is (x - 3)(x - 3) or (x - 3)^2.

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Math Problems

Algebra 1

Factor quadratics: special cases

Full solution

Q. Factor as the product of two binomials.

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9-6x+x^{2}=

Recognize and reorder quadratic expression: Recognize the quadratic expression and reorder it if necessary. $\newline$ The given expression is $9 - 6x + x^2$ . To make it easier to factor, we should write it in the standard quadratic form, which is $ax^2 + bx + c$ . $\newline$ Reordering the expression, we get $x^2 - 6x + 9$ .
Identify perfect square trinomial pattern: Look for a pattern or method to factor the quadratic expression. $\newline$ The expression $x^2 - 6x + 9$ is a perfect square trinomial because it can be written as $(x - 3)^2$ . This is because the square of the first term is $x^2$ , the square of the last term is $9$ , and twice the product of the first and last terms gives the middle term ( $-6x$ ).
Factor using perfect square trinomial pattern: Factor the expression using the perfect square trinomial pattern. $\newline$ The factored form of $x^2 - 6x + 9$ is $(x - 3)(x - 3)$ or $(x - 3)^2$ .