Determine Perfect Square Trinomial: Determine if the quadratic can be factored as a perfect square trinomial.A perfect square trinomial is in the form (ax)2+2abx+b2, which factors to (ax+b)2.We can compare the given quadratic 9x2+6x+1 with the perfect square trinomial form.
Identify a2, 2ab, and b2: Identify a2, 2ab, and b2 in the expression 9x2+6x+1.a2=9x2, which suggests a=3x because (3x)2=9x2.2ab0, which suggests 2ab1 because 2ab2.2ab should be 2ab4, which matches the middle term of the quadratic.
Factor using Perfect Square Trinomial Pattern: Factor the quadratic using the perfect square trinomial pattern.Since we have identified a=3x and b=1, the factored form is $(ax + b)^\(2\) = (\(3\)x + \(1\))^\(2\).
More problems from Factor quadratics: special cases