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Factor the quadratic: x2−9x+18x^2 - 9x + 18 factors into (x−3)(x−6)(x - 3)(x - 6) because −3+−6=−9-3 + -6 = -9 and (−3)(−6)=18(-3)(-6) = 18. Setting each factor equal to zero gives x=3x = 3 and x=6x = 6. Option B uses the negatives, which would produce x2+9x+18x^2 + 9x + 18. Options C and D do not satisfy both sum and product conditions for factoring. STAAR Algebra I objectives stress solving quadratic equations via factoring, square roots, completing the square, and the quadratic formula, as well as verifying solutions. Students should check: 32−9(3)+18=9−27+18=03^2 - 9(3) + 18 = 9 - 27 + 18 = 0 and 62−9(6)+18=36−54+18=06^2 - 9(6) + 18 = 36 - 54 + 18 = 0. Recognizing factorable trinomials by identifying two numbers that multiply to cc and add to bb is a common, efficient strategy. Mastery includes connecting algebraic techniques to graphical interpretations, where the solutions correspond to the xx-intercepts of y=x2−9x+18y = x^2 - 9x + 18.