Digital ACT Math Practice Question #816
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Identify the quadratic form: consider converting to vertex form \( y = a(x-h)^2 + k \) or using \( x = - rac{b}{2a} \) to find the line of symmetry.
Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.
Given that \( x = 3 \) is a root with multiplicity 2, it means that \( (x-3) \) is a factor of the polynomial twice, so \( (x-3)^2 \) is a factor. First, expand \( (x-3)^2 \): \( (x-3)^2 = x^2 - 6x + 9 \). Now, perform polynomial long divis...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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